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Finding the Fourth Proportional to 86,565.63, 129,841.95 and 30,406.23

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Solution

The fourth proportional to 86,565.63, 129,841.95 and 30,406.23 is: 45,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.63 : 129,841.95 = 30,406.23 : x
  2. Step 2: Convert to fraction form
    86,565.63/129,841.95 = 30,406.23/x
  3. Step 3: Cross multiply
    86,565.63x = 129,841.95 × 30,406.23
  4. Step 4: Simplify right side
    86,565.63x = 3,948,004,195.35
  5. Step 5: Solve for x
    x = 3,948,004,195.35/86,565.63
  6. Step 6: Final answer
    x = 45,607.06

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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.