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Finding the Fourth Proportional to 91,539, 126,325.74 and 51,795

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Solution

The fourth proportional to 91,539, 126,325.74 and 51,795 is: 71,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,539 : 126,325.74 = 51,795 : x
  2. Step 2: Convert to fraction form
    91,539/126,325.74 = 51,795/x
  3. Step 3: Cross multiply
    91,539x = 126,325.74 × 51,795
  4. Step 4: Simplify right side
    91,539x = 6,543,041,703.30
  5. Step 5: Solve for x
    x = 6,543,041,703.30/91,539
  6. Step 6: Final answer
    x = 71,478.19

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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.