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Finding the Fourth Proportional to 92,849.64, 128,132.16 and 50,407.86

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Solution

The fourth proportional to 92,849.64, 128,132.16 and 50,407.86 is: 69,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,849.64 : 128,132.16 = 50,407.86 : x
  2. Step 2: Convert to fraction form
    92,849.64/128,132.16 = 50,407.86/x
  3. Step 3: Cross multiply
    92,849.64x = 128,132.16 × 50,407.86
  4. Step 4: Simplify right side
    92,849.64x = 6,458,867,982.78
  5. Step 5: Solve for x
    x = 6,458,867,982.78/92,849.64
  6. Step 6: Final answer
    x = 69,562.66

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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.