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Finding the Fourth Proportional to 82,730.90, 124,046.29 and 37,130.19

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Solution

The fourth proportional to 82,730.90, 124,046.29 and 37,130.19 is: 55,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.90 : 124,046.29 = 37,130.19 : x
  2. Step 2: Convert to fraction form
    82,730.90/124,046.29 = 37,130.19/x
  3. Step 3: Cross multiply
    82,730.90x = 124,046.29 × 37,130.19
  4. Step 4: Simplify right side
    82,730.90x = 4,605,862,316.50
  5. Step 5: Solve for x
    x = 4,605,862,316.50/82,730.90
  6. Step 6: Final answer
    x = 55,672.82

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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.