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Finding the Fourth Proportional to 86,565.40, 129,872.40 and 42,193.60

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Solution

The fourth proportional to 86,565.40, 129,872.40 and 42,193.60 is: 63,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.40 : 129,872.40 = 42,193.60 : x
  2. Step 2: Convert to fraction form
    86,565.40/129,872.40 = 42,193.60/x
  3. Step 3: Cross multiply
    86,565.40x = 129,872.40 × 42,193.60
  4. Step 4: Simplify right side
    86,565.40x = 5,479,784,096.64
  5. Step 5: Solve for x
    x = 5,479,784,096.64/86,565.40
  6. Step 6: Final answer
    x = 63,302.24

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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.