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Finding the Fourth Proportional to 83,151.72, 114,749.73 and 45,426.78

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Solution

The fourth proportional to 83,151.72, 114,749.73 and 45,426.78 is: 62,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.72 : 114,749.73 = 45,426.78 : x
  2. Step 2: Convert to fraction form
    83,151.72/114,749.73 = 45,426.78/x
  3. Step 3: Cross multiply
    83,151.72x = 114,749.73 × 45,426.78
  4. Step 4: Simplify right side
    83,151.72x = 5,212,710,739.77
  5. Step 5: Solve for x
    x = 5,212,710,739.77/83,151.72
  6. Step 6: Final answer
    x = 62,689.15

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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.