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Finding the Fourth Proportional to 86,113, 129,221.34 and 36,865

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Solution

The fourth proportional to 86,113, 129,221.34 and 36,865 is: 55,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,113 : 129,221.34 = 36,865 : x
  2. Step 2: Convert to fraction form
    86,113/129,221.34 = 36,865/x
  3. Step 3: Cross multiply
    86,113x = 129,221.34 × 36,865
  4. Step 4: Simplify right side
    86,113x = 4,763,744,699.10
  5. Step 5: Solve for x
    x = 4,763,744,699.10/86,113
  6. Step 6: Final answer
    x = 55,319.69

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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.