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Finding the Fourth Proportional to 83,175.76, 114,750 and 51,289.30

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Solution

The fourth proportional to 83,175.76, 114,750 and 51,289.30 is: 70,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.76 : 114,750 = 51,289.30 : x
  2. Step 2: Convert to fraction form
    83,175.76/114,750 = 51,289.30/x
  3. Step 3: Cross multiply
    83,175.76x = 114,750 × 51,289.30
  4. Step 4: Simplify right side
    83,175.76x = 5,885,447,175
  5. Step 5: Solve for x
    x = 5,885,447,175/83,175.76
  6. Step 6: Final answer
    x = 70,759.16

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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.