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Finding the Fourth Proportional to 103,698.80, 155,591.86 and 61,659.18

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Solution

The fourth proportional to 103,698.80, 155,591.86 and 61,659.18 is: 92,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.80 : 155,591.86 = 61,659.18 : x
  2. Step 2: Convert to fraction form
    103,698.80/155,591.86 = 61,659.18/x
  3. Step 3: Cross multiply
    103,698.80x = 155,591.86 × 61,659.18
  4. Step 4: Simplify right side
    103,698.80x = 9,593,666,502.27
  5. Step 5: Solve for x
    x = 9,593,666,502.27/103,698.80
  6. Step 6: Final answer
    x = 92,514.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.