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Finding the Fourth Proportional to 86,357.56, 129,502.32 and 41,971.20

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Solution

The fourth proportional to 86,357.56, 129,502.32 and 41,971.20 is: 62,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,357.56 : 129,502.32 = 41,971.20 : x
  2. Step 2: Convert to fraction form
    86,357.56/129,502.32 = 41,971.20/x
  3. Step 3: Cross multiply
    86,357.56x = 129,502.32 × 41,971.20
  4. Step 4: Simplify right side
    86,357.56x = 5,435,367,773.18
  5. Step 5: Solve for x
    x = 5,435,367,773.18/86,357.56
  6. Step 6: Final answer
    x = 62,940.27

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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.