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Finding the Fourth Proportional to 148,391.76, 204,790.68 and 83,838.61

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Solution

The fourth proportional to 148,391.76, 204,790.68 and 83,838.61 is: 115,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,391.76 : 204,790.68 = 83,838.61 : x
  2. Step 2: Convert to fraction form
    148,391.76/204,790.68 = 83,838.61/x
  3. Step 3: Cross multiply
    148,391.76x = 204,790.68 × 83,838.61
  4. Step 4: Simplify right side
    148,391.76x = 17,169,366,208.14
  5. Step 5: Solve for x
    x = 17,169,366,208.14/148,391.76
  6. Step 6: Final answer
    x = 115,702.96

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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.