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Finding the Fourth Proportional to 200,041.60, 299,537.52 and 129,707.68

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Solution

The fourth proportional to 200,041.60, 299,537.52 and 129,707.68 is: 194,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.60 : 299,537.52 = 129,707.68 : x
  2. Step 2: Convert to fraction form
    200,041.60/299,537.52 = 129,707.68/x
  3. Step 3: Cross multiply
    200,041.60x = 299,537.52 × 129,707.68
  4. Step 4: Simplify right side
    200,041.60x = 38,852,316,792.15
  5. Step 5: Solve for x
    x = 38,852,316,792.15/200,041.60
  6. Step 6: Final answer
    x = 194,221.19

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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.