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Finding the Fourth Proportional to 83,633.92, 115,415.16 and 45,393.53

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Solution

The fourth proportional to 83,633.92, 115,415.16 and 45,393.53 is: 62,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.92 : 115,415.16 = 45,393.53 : x
  2. Step 2: Convert to fraction form
    83,633.92/115,415.16 = 45,393.53/x
  3. Step 3: Cross multiply
    83,633.92x = 115,415.16 × 45,393.53
  4. Step 4: Simplify right side
    83,633.92x = 5,239,101,527.91
  5. Step 5: Solve for x
    x = 5,239,101,527.91/83,633.92
  6. Step 6: Final answer
    x = 62,643.26

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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.