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Finding the Fourth Proportional to 55,801.52, 83,702.28 and 20,750

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Solution

The fourth proportional to 55,801.52, 83,702.28 and 20,750 is: 31,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,801.52 : 83,702.28 = 20,750 : x
  2. Step 2: Convert to fraction form
    55,801.52/83,702.28 = 20,750/x
  3. Step 3: Cross multiply
    55,801.52x = 83,702.28 × 20,750
  4. Step 4: Simplify right side
    55,801.52x = 1,736,822,310
  5. Step 5: Solve for x
    x = 1,736,822,310/55,801.52
  6. Step 6: Final answer
    x = 31,125

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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.