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Finding the Fourth Proportional to 81,289.52, 122,543.55 and 75,870.62

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Solution

The fourth proportional to 81,289.52, 122,543.55 and 75,870.62 is: 114,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,289.52 : 122,543.55 = 75,870.62 : x
  2. Step 2: Convert to fraction form
    81,289.52/122,543.55 = 75,870.62/x
  3. Step 3: Cross multiply
    81,289.52x = 122,543.55 × 75,870.62
  4. Step 4: Simplify right side
    81,289.52x = 9,297,454,502.78
  5. Step 5: Solve for x
    x = 9,297,454,502.78/81,289.52
  6. Step 6: Final answer
    x = 114,374.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.