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Finding the Fourth Proportional to 83,134.45, 114,724.80 and 45,407.89

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Solution

The fourth proportional to 83,134.45, 114,724.80 and 45,407.89 is: 62,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.45 : 114,724.80 = 45,407.89 : x
  2. Step 2: Convert to fraction form
    83,134.45/114,724.80 = 45,407.89/x
  3. Step 3: Cross multiply
    83,134.45x = 114,724.80 × 45,407.89
  4. Step 4: Simplify right side
    83,134.45x = 5,209,411,098.67
  5. Step 5: Solve for x
    x = 5,209,411,098.67/83,134.45
  6. Step 6: Final answer
    x = 62,662.48

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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.