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Finding the Fourth Proportional to 83,159.78, 114,760.86 and 45,434.84

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Solution

The fourth proportional to 83,159.78, 114,760.86 and 45,434.84 is: 62,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.78 : 114,760.86 = 45,434.84 : x
  2. Step 2: Convert to fraction form
    83,159.78/114,760.86 = 45,434.84/x
  3. Step 3: Cross multiply
    83,159.78x = 114,760.86 × 45,434.84
  4. Step 4: Simplify right side
    83,159.78x = 5,214,141,599.26
  5. Step 5: Solve for x
    x = 5,214,141,599.26/83,159.78
  6. Step 6: Final answer
    x = 62,700.28

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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.