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Finding the Fourth Proportional to 85,854.30, 128,721.45 and 50,775.90

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Solution

The fourth proportional to 85,854.30, 128,721.45 and 50,775.90 is: 76,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,854.30 : 128,721.45 = 50,775.90 : x
  2. Step 2: Convert to fraction form
    85,854.30/128,721.45 = 50,775.90/x
  3. Step 3: Cross multiply
    85,854.30x = 128,721.45 × 50,775.90
  4. Step 4: Simplify right side
    85,854.30x = 6,535,947,473.06
  5. Step 5: Solve for x
    x = 6,535,947,473.06/85,854.30
  6. Step 6: Final answer
    x = 76,128.36

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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.