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Finding the Fourth Proportional to 91,852.83, 137,621.90 and 71,854.34

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Solution

The fourth proportional to 91,852.83, 137,621.90 and 71,854.34 is: 107,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,852.83 : 137,621.90 = 71,854.34 : x
  2. Step 2: Convert to fraction form
    91,852.83/137,621.90 = 71,854.34/x
  3. Step 3: Cross multiply
    91,852.83x = 137,621.90 × 71,854.34
  4. Step 4: Simplify right side
    91,852.83x = 9,888,730,285.57
  5. Step 5: Solve for x
    x = 9,888,730,285.57/91,852.83
  6. Step 6: Final answer
    x = 107,658.42

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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.