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Finding the Fourth Proportional to 86,854.29, 130,309.11 and 38,815.47

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Solution

The fourth proportional to 86,854.29, 130,309.11 and 38,815.47 is: 58,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,854.29 : 130,309.11 = 38,815.47 : x
  2. Step 2: Convert to fraction form
    86,854.29/130,309.11 = 38,815.47/x
  3. Step 3: Cross multiply
    86,854.29x = 130,309.11 × 38,815.47
  4. Step 4: Simplify right side
    86,854.29x = 5,058,009,349.93
  5. Step 5: Solve for x
    x = 5,058,009,349.93/86,854.29
  6. Step 6: Final answer
    x = 58,235.57

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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.