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Finding the Fourth Proportional to 71,427.80, 107,068.80 and 41,830.40

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Solution

The fourth proportional to 71,427.80, 107,068.80 and 41,830.40 is: 62,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427.80 : 107,068.80 = 41,830.40 : x
  2. Step 2: Convert to fraction form
    71,427.80/107,068.80 = 41,830.40/x
  3. Step 3: Cross multiply
    71,427.80x = 107,068.80 × 41,830.40
  4. Step 4: Simplify right side
    71,427.80x = 4,478,730,731.52
  5. Step 5: Solve for x
    x = 4,478,730,731.52/71,427.80
  6. Step 6: Final answer
    x = 62,702.91

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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.