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Finding the Fourth Proportional to 106,370.55, 146,789.35 and 57,972.88

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Solution

The fourth proportional to 106,370.55, 146,789.35 and 57,972.88 is: 80,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,370.55 : 146,789.35 = 57,972.88 : x
  2. Step 2: Convert to fraction form
    106,370.55/146,789.35 = 57,972.88/x
  3. Step 3: Cross multiply
    106,370.55x = 146,789.35 × 57,972.88
  4. Step 4: Simplify right side
    106,370.55x = 8,509,801,411.38
  5. Step 5: Solve for x
    x = 8,509,801,411.38/106,370.55
  6. Step 6: Final answer
    x = 80,001.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.