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Finding the Fourth Proportional to 83,130.28, 114,719.10 and 45,404.56

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Solution

The fourth proportional to 83,130.28, 114,719.10 and 45,404.56 is: 62,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130.28 : 114,719.10 = 45,404.56 : x
  2. Step 2: Convert to fraction form
    83,130.28/114,719.10 = 45,404.56/x
  3. Step 3: Cross multiply
    83,130.28x = 114,719.10 × 45,404.56
  4. Step 4: Simplify right side
    83,130.28x = 5,208,770,259.10
  5. Step 5: Solve for x
    x = 5,208,770,259.10/83,130.28
  6. Step 6: Final answer
    x = 62,657.92

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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.