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Finding the Fourth Proportional to 83,539.68, 115,286.40 and 45,816

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Solution

The fourth proportional to 83,539.68, 115,286.40 and 45,816 is: 63,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.68 : 115,286.40 = 45,816 : x
  2. Step 2: Convert to fraction form
    83,539.68/115,286.40 = 45,816/x
  3. Step 3: Cross multiply
    83,539.68x = 115,286.40 × 45,816
  4. Step 4: Simplify right side
    83,539.68x = 5,281,961,702.40
  5. Step 5: Solve for x
    x = 5,281,961,702.40/83,539.68
  6. Step 6: Final answer
    x = 63,226.98

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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.