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Finding the Fourth Proportional to 86,565.96, 129,894.66 and 61,427.88

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Solution

The fourth proportional to 86,565.96, 129,894.66 and 61,427.88 is: 92,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.96 : 129,894.66 = 61,427.88 : x
  2. Step 2: Convert to fraction form
    86,565.96/129,894.66 = 61,427.88/x
  3. Step 3: Cross multiply
    86,565.96x = 129,894.66 × 61,427.88
  4. Step 4: Simplify right side
    86,565.96x = 7,979,153,587.12
  5. Step 5: Solve for x
    x = 7,979,153,587.12/86,565.96
  6. Step 6: Final answer
    x = 92,174.26

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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.