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Finding the Fourth Proportional to 200,986.80, 301,513.01 and 67,875.05

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Solution

The fourth proportional to 200,986.80, 301,513.01 and 67,875.05 is: 101,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986.80 : 301,513.01 = 67,875.05 : x
  2. Step 2: Convert to fraction form
    200,986.80/301,513.01 = 67,875.05/x
  3. Step 3: Cross multiply
    200,986.80x = 301,513.01 × 67,875.05
  4. Step 4: Simplify right side
    200,986.80x = 20,465,208,782.46
  5. Step 5: Solve for x
    x = 20,465,208,782.46/200,986.80
  6. Step 6: Final answer
    x = 101,823.65

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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.