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Finding the Fourth Proportional to 140,303.91, 193,616.25 and 76,641.96

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Solution

The fourth proportional to 140,303.91, 193,616.25 and 76,641.96 is: 105,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,303.91 : 193,616.25 = 76,641.96 : x
  2. Step 2: Convert to fraction form
    140,303.91/193,616.25 = 76,641.96/x
  3. Step 3: Cross multiply
    140,303.91x = 193,616.25 × 76,641.96
  4. Step 4: Simplify right side
    140,303.91x = 14,839,128,887.85
  5. Step 5: Solve for x
    x = 14,839,128,887.85/140,303.91
  6. Step 6: Final answer
    x = 105,764.19

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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.