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Finding the Fourth Proportional to 86,088.52, 129,165.59 and 77,739.65

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Solution

The fourth proportional to 86,088.52, 129,165.59 and 77,739.65 is: 116,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,088.52 : 129,165.59 = 77,739.65 : x
  2. Step 2: Convert to fraction form
    86,088.52/129,165.59 = 77,739.65/x
  3. Step 3: Cross multiply
    86,088.52x = 129,165.59 × 77,739.65
  4. Step 4: Simplify right side
    86,088.52x = 10,041,287,354.25
  5. Step 5: Solve for x
    x = 10,041,287,354.25/86,088.52
  6. Step 6: Final answer
    x = 116,639.10

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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.