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Finding the Fourth Proportional to 91,462.55, 137,029.80 and 78,340.55

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Solution

The fourth proportional to 91,462.55, 137,029.80 and 78,340.55 is: 117,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,462.55 : 137,029.80 = 78,340.55 : x
  2. Step 2: Convert to fraction form
    91,462.55/137,029.80 = 78,340.55/x
  3. Step 3: Cross multiply
    91,462.55x = 137,029.80 × 78,340.55
  4. Step 4: Simplify right side
    91,462.55x = 10,734,989,898.39
  5. Step 5: Solve for x
    x = 10,734,989,898.39/91,462.55
  6. Step 6: Final answer
    x = 117,370.33

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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.