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Finding the Fourth Proportional to 84,172.59, 126,184.95 and 34,294.64

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Solution

The fourth proportional to 84,172.59, 126,184.95 and 34,294.64 is: 51,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,172.59 : 126,184.95 = 34,294.64 : x
  2. Step 2: Convert to fraction form
    84,172.59/126,184.95 = 34,294.64/x
  3. Step 3: Cross multiply
    84,172.59x = 126,184.95 × 34,294.64
  4. Step 4: Simplify right side
    84,172.59x = 4,327,466,802.74
  5. Step 5: Solve for x
    x = 4,327,466,802.74/84,172.59
  6. Step 6: Final answer
    x = 51,411.83

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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.