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Finding the Fourth Proportional to 180,407.86, 248,960.39 and 99,830.48

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Solution

The fourth proportional to 180,407.86, 248,960.39 and 99,830.48 is: 137,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.86 : 248,960.39 = 99,830.48 : x
  2. Step 2: Convert to fraction form
    180,407.86/248,960.39 = 99,830.48/x
  3. Step 3: Cross multiply
    180,407.86x = 248,960.39 × 99,830.48
  4. Step 4: Simplify right side
    180,407.86x = 24,853,833,490.73
  5. Step 5: Solve for x
    x = 24,853,833,490.73/180,407.86
  6. Step 6: Final answer
    x = 137,764.70

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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.