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Finding the Fourth Proportional to 76,437.90, 114,559.65 and 68,078.70

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Solution

The fourth proportional to 76,437.90, 114,559.65 and 68,078.70 is: 102,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437.90 : 114,559.65 = 68,078.70 : x
  2. Step 2: Convert to fraction form
    76,437.90/114,559.65 = 68,078.70/x
  3. Step 3: Cross multiply
    76,437.90x = 114,559.65 × 68,078.70
  4. Step 4: Simplify right side
    76,437.90x = 7,799,072,044.46
  5. Step 5: Solve for x
    x = 7,799,072,044.46/76,437.90
  6. Step 6: Final answer
    x = 102,031.48

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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.