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Finding the Fourth Proportional to 76,913.60, 115,204.32 and 75,031.41

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Solution

The fourth proportional to 76,913.60, 115,204.32 and 75,031.41 is: 112,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,913.60 : 115,204.32 = 75,031.41 : x
  2. Step 2: Convert to fraction form
    76,913.60/115,204.32 = 75,031.41/x
  3. Step 3: Cross multiply
    76,913.60x = 115,204.32 × 75,031.41
  4. Step 4: Simplify right side
    76,913.60x = 8,643,942,567.69
  5. Step 5: Solve for x
    x = 8,643,942,567.69/76,913.60
  6. Step 6: Final answer
    x = 112,385.11

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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.