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Finding the Fourth Proportional to 52,086, 71,888.40 and 29,730

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Solution

The fourth proportional to 52,086, 71,888.40 and 29,730 is: 41,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086 : 71,888.40 = 29,730 : x
  2. Step 2: Convert to fraction form
    52,086/71,888.40 = 29,730/x
  3. Step 3: Cross multiply
    52,086x = 71,888.40 × 29,730
  4. Step 4: Simplify right side
    52,086x = 2,137,242,132.00
  5. Step 5: Solve for x
    x = 2,137,242,132.00/52,086
  6. Step 6: Final answer
    x = 41,032.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.