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Finding the Fourth Proportional to 83,542, 115,288.02 and 45,816.40

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Solution

The fourth proportional to 83,542, 115,288.02 and 45,816.40 is: 63,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542 : 115,288.02 = 45,816.40 : x
  2. Step 2: Convert to fraction form
    83,542/115,288.02 = 45,816.40/x
  3. Step 3: Cross multiply
    83,542x = 115,288.02 × 45,816.40
  4. Step 4: Simplify right side
    83,542x = 5,282,082,039.53
  5. Step 5: Solve for x
    x = 5,282,082,039.53/83,542
  6. Step 6: Final answer
    x = 63,226.66

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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.