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Finding the Fourth Proportional to 100,285.32, 138,407.56 and 57,842.92

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Solution

The fourth proportional to 100,285.32, 138,407.56 and 57,842.92 is: 79,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,285.32 : 138,407.56 = 57,842.92 : x
  2. Step 2: Convert to fraction form
    100,285.32/138,407.56 = 57,842.92/x
  3. Step 3: Cross multiply
    100,285.32x = 138,407.56 × 57,842.92
  4. Step 4: Simplify right side
    100,285.32x = 8,005,897,420.48
  5. Step 5: Solve for x
    x = 8,005,897,420.48/100,285.32
  6. Step 6: Final answer
    x = 79,831.20

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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.