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Finding the Fourth Proportional to 72,607.86, 108,931.23 and 65,667.78

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Solution

The fourth proportional to 72,607.86, 108,931.23 and 65,667.78 is: 98,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,607.86 : 108,931.23 = 65,667.78 : x
  2. Step 2: Convert to fraction form
    72,607.86/108,931.23 = 65,667.78/x
  3. Step 3: Cross multiply
    72,607.86x = 108,931.23 × 65,667.78
  4. Step 4: Simplify right side
    72,607.86x = 7,153,272,046.77
  5. Step 5: Solve for x
    x = 7,153,272,046.77/72,607.86
  6. Step 6: Final answer
    x = 98,519.25

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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.