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Finding the Fourth Proportional to 82,781.40, 124,101.90 and 30,160.20

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Solution

The fourth proportional to 82,781.40, 124,101.90 and 30,160.20 is: 45,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.40 : 124,101.90 = 30,160.20 : x
  2. Step 2: Convert to fraction form
    82,781.40/124,101.90 = 30,160.20/x
  3. Step 3: Cross multiply
    82,781.40x = 124,101.90 × 30,160.20
  4. Step 4: Simplify right side
    82,781.40x = 3,742,938,124.38
  5. Step 5: Solve for x
    x = 3,742,938,124.38/82,781.40
  6. Step 6: Final answer
    x = 45,214.72

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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.