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Finding the Fourth Proportional to 71,146, 106,702.80 and 26,777.44

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Solution

The fourth proportional to 71,146, 106,702.80 and 26,777.44 is: 40,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 106,702.80 = 26,777.44 : x
  2. Step 2: Convert to fraction form
    71,146/106,702.80 = 26,777.44/x
  3. Step 3: Cross multiply
    71,146x = 106,702.80 × 26,777.44
  4. Step 4: Simplify right side
    71,146x = 2,857,227,824.83
  5. Step 5: Solve for x
    x = 2,857,227,824.83/71,146
  6. Step 6: Final answer
    x = 40,160.06

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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.