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Finding the Fourth Proportional to 201,643,438.80, 302,465,158.20 and 99,456,430.80

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Solution

The fourth proportional to 201,643,438.80, 302,465,158.20 and 99,456,430.80 is: 149,184,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643,438.80 : 302,465,158.20 = 99,456,430.80 : x
  2. Step 2: Convert to fraction form
    201,643,438.80/302,465,158.20 = 99,456,430.80/x
  3. Step 3: Cross multiply
    201,643,438.80x = 302,465,158.20 × 99,456,430.80
  4. Step 4: Simplify right side
    201,643,438.80x = 30,082,105,075,929,352
  5. Step 5: Solve for x
    x = 30,082,105,075,929,352/201,643,438.80
  6. Step 6: Final answer
    x = 149,184,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.