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Finding the Fourth Proportional to 76,411.80, 114,704.10 and 45,264.60

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Solution

The fourth proportional to 76,411.80, 114,704.10 and 45,264.60 is: 67,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.80 : 114,704.10 = 45,264.60 : x
  2. Step 2: Convert to fraction form
    76,411.80/114,704.10 = 45,264.60/x
  3. Step 3: Cross multiply
    76,411.80x = 114,704.10 × 45,264.60
  4. Step 4: Simplify right side
    76,411.80x = 5,192,035,204.86
  5. Step 5: Solve for x
    x = 5,192,035,204.86/76,411.80
  6. Step 6: Final answer
    x = 67,948.08

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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.