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Finding the Fourth Proportional to 91,930.40, 138,025.20 and 56,938.40

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Solution

The fourth proportional to 91,930.40, 138,025.20 and 56,938.40 is: 85,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,930.40 : 138,025.20 = 56,938.40 : x
  2. Step 2: Convert to fraction form
    91,930.40/138,025.20 = 56,938.40/x
  3. Step 3: Cross multiply
    91,930.40x = 138,025.20 × 56,938.40
  4. Step 4: Simplify right side
    91,930.40x = 7,858,934,047.68
  5. Step 5: Solve for x
    x = 7,858,934,047.68/91,930.40
  6. Step 6: Final answer
    x = 85,487.87

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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.