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Finding the Fourth Proportional to 83,663, 115,455.75 and 45,938.06

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Solution

The fourth proportional to 83,663, 115,455.75 and 45,938.06 is: 63,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663 : 115,455.75 = 45,938.06 : x
  2. Step 2: Convert to fraction form
    83,663/115,455.75 = 45,938.06/x
  3. Step 3: Cross multiply
    83,663x = 115,455.75 × 45,938.06
  4. Step 4: Simplify right side
    83,663x = 5,303,813,170.85
  5. Step 5: Solve for x
    x = 5,303,813,170.85/83,663
  6. Step 6: Final answer
    x = 63,394.97

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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.