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Finding the Fourth Proportional to 91,820.60, 137,730.90 and 52,381.70

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Solution

The fourth proportional to 91,820.60, 137,730.90 and 52,381.70 is: 78,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,820.60 : 137,730.90 = 52,381.70 : x
  2. Step 2: Convert to fraction form
    91,820.60/137,730.90 = 52,381.70/x
  3. Step 3: Cross multiply
    91,820.60x = 137,730.90 × 52,381.70
  4. Step 4: Simplify right side
    91,820.60x = 7,214,578,684.53
  5. Step 5: Solve for x
    x = 7,214,578,684.53/91,820.60
  6. Step 6: Final answer
    x = 78,572.55

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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.