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Finding the Fourth Proportional to 86,456.16, 129,732.84 and 39,712.68

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Solution

The fourth proportional to 86,456.16, 129,732.84 and 39,712.68 is: 59,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456.16 : 129,732.84 = 39,712.68 : x
  2. Step 2: Convert to fraction form
    86,456.16/129,732.84 = 39,712.68/x
  3. Step 3: Cross multiply
    86,456.16x = 129,732.84 × 39,712.68
  4. Step 4: Simplify right side
    86,456.16x = 5,152,038,760.41
  5. Step 5: Solve for x
    x = 5,152,038,760.41/86,456.16
  6. Step 6: Final answer
    x = 59,591.34

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1.5x scale

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.