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Finding the Fourth Proportional to 83,045.72, 114,603.45 and 45,320.78

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Solution

The fourth proportional to 83,045.72, 114,603.45 and 45,320.78 is: 62,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.72 : 114,603.45 = 45,320.78 : x
  2. Step 2: Convert to fraction form
    83,045.72/114,603.45 = 45,320.78/x
  3. Step 3: Cross multiply
    83,045.72x = 114,603.45 × 45,320.78
  4. Step 4: Simplify right side
    83,045.72x = 5,193,917,744.69
  5. Step 5: Solve for x
    x = 5,193,917,744.69/83,045.72
  6. Step 6: Final answer
    x = 62,542.87

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1.5x scale

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.