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Finding the Fourth Proportional to 129,062.79, 193,574.21 and 65,929.59

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Solution

The fourth proportional to 129,062.79, 193,574.21 and 65,929.59 is: 98,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,062.79 : 193,574.21 = 65,929.59 : x
  2. Step 2: Convert to fraction form
    129,062.79/193,574.21 = 65,929.59/x
  3. Step 3: Cross multiply
    129,062.79x = 193,574.21 × 65,929.59
  4. Step 4: Simplify right side
    129,062.79x = 12,762,267,970.23
  5. Step 5: Solve for x
    x = 12,762,267,970.23/129,062.79
  6. Step 6: Final answer
    x = 98,884.18

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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.