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Finding the Fourth Proportional to 86,162, 129,235.52 and 29,987.60

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Solution

The fourth proportional to 86,162, 129,235.52 and 29,987.60 is: 44,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,162 : 129,235.52 = 29,987.60 : x
  2. Step 2: Convert to fraction form
    86,162/129,235.52 = 29,987.60/x
  3. Step 3: Cross multiply
    86,162x = 129,235.52 × 29,987.60
  4. Step 4: Simplify right side
    86,162x = 3,875,463,079.55
  5. Step 5: Solve for x
    x = 3,875,463,079.55/86,162
  6. Step 6: Final answer
    x = 44,978.80

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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.