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Finding the Fourth Proportional to 103,075.60, 144,513.20 and 103,075.60

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Solution

The fourth proportional to 103,075.60, 144,513.20 and 103,075.60 is: 144,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,075.60 : 144,513.20 = 103,075.60 : x
  2. Step 2: Convert to fraction form
    103,075.60/144,513.20 = 103,075.60/x
  3. Step 3: Cross multiply
    103,075.60x = 144,513.20 × 103,075.60
  4. Step 4: Simplify right side
    103,075.60x = 14,895,784,797.92
  5. Step 5: Solve for x
    x = 14,895,784,797.92/103,075.60
  6. Step 6: Final answer
    x = 144,513.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.