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Finding the Fourth Proportional to 91,945.86, 137,820.78 and 52,417.86

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Solution

The fourth proportional to 91,945.86, 137,820.78 and 52,417.86 is: 78,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,945.86 : 137,820.78 = 52,417.86 : x
  2. Step 2: Convert to fraction form
    91,945.86/137,820.78 = 52,417.86/x
  3. Step 3: Cross multiply
    91,945.86x = 137,820.78 × 52,417.86
  4. Step 4: Simplify right side
    91,945.86x = 7,224,270,351.13
  5. Step 5: Solve for x
    x = 7,224,270,351.13/91,945.86
  6. Step 6: Final answer
    x = 78,570.92

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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.