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Finding the Fourth Proportional to 91,675, 126,511.68 and 51,931

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Solution

The fourth proportional to 91,675, 126,511.68 and 51,931 is: 71,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,675 : 126,511.68 = 51,931 : x
  2. Step 2: Convert to fraction form
    91,675/126,511.68 = 51,931/x
  3. Step 3: Cross multiply
    91,675x = 126,511.68 × 51,931
  4. Step 4: Simplify right side
    91,675x = 6,569,878,054.08
  5. Step 5: Solve for x
    x = 6,569,878,054.08/91,675
  6. Step 6: Final answer
    x = 71,664.88

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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.