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Finding the Fourth Proportional to 83,151.56, 114,749.16 and 45,425.81

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Solution

The fourth proportional to 83,151.56, 114,749.16 and 45,425.81 is: 62,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.56 : 114,749.16 = 45,425.81 : x
  2. Step 2: Convert to fraction form
    83,151.56/114,749.16 = 45,425.81/x
  3. Step 3: Cross multiply
    83,151.56x = 114,749.16 × 45,425.81
  4. Step 4: Simplify right side
    83,151.56x = 5,212,573,656.35
  5. Step 5: Solve for x
    x = 5,212,573,656.35/83,151.56
  6. Step 6: Final answer
    x = 62,687.62

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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.