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Finding the Fourth Proportional to 81,657.42, 112,658.79 and 51,445.44

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Solution

The fourth proportional to 81,657.42, 112,658.79 and 51,445.44 is: 70,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657.42 : 112,658.79 = 51,445.44 : x
  2. Step 2: Convert to fraction form
    81,657.42/112,658.79 = 51,445.44/x
  3. Step 3: Cross multiply
    81,657.42x = 112,658.79 × 51,445.44
  4. Step 4: Simplify right side
    81,657.42x = 5,795,780,535.76
  5. Step 5: Solve for x
    x = 5,795,780,535.76/81,657.42
  6. Step 6: Final answer
    x = 70,976.77

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1.5x scale

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.