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Finding the Fourth Proportional to 83,375.78, 115,070.03 and 51,129.68

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Solution

The fourth proportional to 83,375.78, 115,070.03 and 51,129.68 is: 70,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375.78 : 115,070.03 = 51,129.68 : x
  2. Step 2: Convert to fraction form
    83,375.78/115,070.03 = 51,129.68/x
  3. Step 3: Cross multiply
    83,375.78x = 115,070.03 × 51,129.68
  4. Step 4: Simplify right side
    83,375.78x = 5,883,492,980.49
  5. Step 5: Solve for x
    x = 5,883,492,980.49/83,375.78
  6. Step 6: Final answer
    x = 70,565.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.