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Finding the Fourth Proportional to 91,440, 126,204.48 and 51,696

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Solution

The fourth proportional to 91,440, 126,204.48 and 51,696 is: 71,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,440 : 126,204.48 = 51,696 : x
  2. Step 2: Convert to fraction form
    91,440/126,204.48 = 51,696/x
  3. Step 3: Cross multiply
    91,440x = 126,204.48 × 51,696
  4. Step 4: Simplify right side
    91,440x = 6,524,266,798.08
  5. Step 5: Solve for x
    x = 6,524,266,798.08/91,440
  6. Step 6: Final answer
    x = 71,350.25

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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.