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Finding the Fourth Proportional to 72,319.54, 99,837.12 and 45,476.86

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Solution

The fourth proportional to 72,319.54, 99,837.12 and 45,476.86 is: 62,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319.54 : 99,837.12 = 45,476.86 : x
  2. Step 2: Convert to fraction form
    72,319.54/99,837.12 = 45,476.86/x
  3. Step 3: Cross multiply
    72,319.54x = 99,837.12 × 45,476.86
  4. Step 4: Simplify right side
    72,319.54x = 4,540,278,729.04
  5. Step 5: Solve for x
    x = 4,540,278,729.04/72,319.54
  6. Step 6: Final answer
    x = 62,780.80

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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.