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Finding the Fourth Proportional to 83,690.80, 115,454.36 and 53,460.72

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Solution

The fourth proportional to 83,690.80, 115,454.36 and 53,460.72 is: 73,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.80 : 115,454.36 = 53,460.72 : x
  2. Step 2: Convert to fraction form
    83,690.80/115,454.36 = 53,460.72/x
  3. Step 3: Cross multiply
    83,690.80x = 115,454.36 × 53,460.72
  4. Step 4: Simplify right side
    83,690.80x = 6,172,273,212.74
  5. Step 5: Solve for x
    x = 6,172,273,212.74/83,690.80
  6. Step 6: Final answer
    x = 73,750.92

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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.