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Finding the Fourth Proportional to 65,569.86, 98,188.70 and 40,658.57

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Solution

The fourth proportional to 65,569.86, 98,188.70 and 40,658.57 is: 60,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,569.86 : 98,188.70 = 40,658.57 : x
  2. Step 2: Convert to fraction form
    65,569.86/98,188.70 = 40,658.57/x
  3. Step 3: Cross multiply
    65,569.86x = 98,188.70 × 40,658.57
  4. Step 4: Simplify right side
    65,569.86x = 3,992,211,641.22
  5. Step 5: Solve for x
    x = 3,992,211,641.22/65,569.86
  6. Step 6: Final answer
    x = 60,884.86

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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.