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Finding the Fourth Proportional to 86,458.59, 129,701.30 and 36,538.90

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Solution

The fourth proportional to 86,458.59, 129,701.30 and 36,538.90 is: 54,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458.59 : 129,701.30 = 36,538.90 : x
  2. Step 2: Convert to fraction form
    86,458.59/129,701.30 = 36,538.90/x
  3. Step 3: Cross multiply
    86,458.59x = 129,701.30 × 36,538.90
  4. Step 4: Simplify right side
    86,458.59x = 4,739,142,647.88
  5. Step 5: Solve for x
    x = 4,739,142,647.88/86,458.59
  6. Step 6: Final answer
    x = 54,814.02

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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.