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Finding the Fourth Proportional to 71,490.74, 107,166.40 and 34,040.76

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Solution

The fourth proportional to 71,490.74, 107,166.40 and 34,040.76 is: 51,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490.74 : 107,166.40 = 34,040.76 : x
  2. Step 2: Convert to fraction form
    71,490.74/107,166.40 = 34,040.76/x
  3. Step 3: Cross multiply
    71,490.74x = 107,166.40 × 34,040.76
  4. Step 4: Simplify right side
    71,490.74x = 3,648,025,702.46
  5. Step 5: Solve for x
    x = 3,648,025,702.46/71,490.74
  6. Step 6: Final answer
    x = 51,027.95

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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.