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Finding the Fourth Proportional to 76,520.71, 114,780.90 and 20,360.81

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Solution

The fourth proportional to 76,520.71, 114,780.90 and 20,360.81 is: 30,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520.71 : 114,780.90 = 20,360.81 : x
  2. Step 2: Convert to fraction form
    76,520.71/114,780.90 = 20,360.81/x
  3. Step 3: Cross multiply
    76,520.71x = 114,780.90 × 20,360.81
  4. Step 4: Simplify right side
    76,520.71x = 2,337,032,459.83
  5. Step 5: Solve for x
    x = 2,337,032,459.83/76,520.71
  6. Step 6: Final answer
    x = 30,541.18

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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.