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Finding the Fourth Proportional to 387,138.72, 580,710.96 and 106,671.36

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Solution

The fourth proportional to 387,138.72, 580,710.96 and 106,671.36 is: 160,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,138.72 : 580,710.96 = 106,671.36 : x
  2. Step 2: Convert to fraction form
    387,138.72/580,710.96 = 106,671.36/x
  3. Step 3: Cross multiply
    387,138.72x = 580,710.96 × 106,671.36
  4. Step 4: Simplify right side
    387,138.72x = 61,945,227,870.11
  5. Step 5: Solve for x
    x = 61,945,227,870.11/387,138.72
  6. Step 6: Final answer
    x = 160,007.83

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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.