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Finding the Fourth Proportional to 127,708.16, 191,569.92 and 38,967.68

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Solution

The fourth proportional to 127,708.16, 191,569.92 and 38,967.68 is: 58,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,708.16 : 191,569.92 = 38,967.68 : x
  2. Step 2: Convert to fraction form
    127,708.16/191,569.92 = 38,967.68/x
  3. Step 3: Cross multiply
    127,708.16x = 191,569.92 × 38,967.68
  4. Step 4: Simplify right side
    127,708.16x = 7,465,035,340.19
  5. Step 5: Solve for x
    x = 7,465,035,340.19/127,708.16
  6. Step 6: Final answer
    x = 58,453.86

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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.