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Finding the Fourth Proportional to 102,125.78, 140,931.56 and 56,802.79

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Solution

The fourth proportional to 102,125.78, 140,931.56 and 56,802.79 is: 78,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.78 : 140,931.56 = 56,802.79 : x
  2. Step 2: Convert to fraction form
    102,125.78/140,931.56 = 56,802.79/x
  3. Step 3: Cross multiply
    102,125.78x = 140,931.56 × 56,802.79
  4. Step 4: Simplify right side
    102,125.78x = 8,005,305,805.71
  5. Step 5: Solve for x
    x = 8,005,305,805.71/102,125.78
  6. Step 6: Final answer
    x = 78,386.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.