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Finding the Fourth Proportional to 106,138.47, 146,471.30 and 58,394.77

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Solution

The fourth proportional to 106,138.47, 146,471.30 and 58,394.77 is: 80,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.47 : 146,471.30 = 58,394.77 : x
  2. Step 2: Convert to fraction form
    106,138.47/146,471.30 = 58,394.77/x
  3. Step 3: Cross multiply
    106,138.47x = 146,471.30 × 58,394.77
  4. Step 4: Simplify right side
    106,138.47x = 8,553,157,875.10
  5. Step 5: Solve for x
    x = 8,553,157,875.10/106,138.47
  6. Step 6: Final answer
    x = 80,584.90

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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.