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Finding the Fourth Proportional to 91,758.64, 126,618.96 and 51,466

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Solution

The fourth proportional to 91,758.64, 126,618.96 and 51,466 is: 71,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,758.64 : 126,618.96 = 51,466 : x
  2. Step 2: Convert to fraction form
    91,758.64/126,618.96 = 51,466/x
  3. Step 3: Cross multiply
    91,758.64x = 126,618.96 × 51,466
  4. Step 4: Simplify right side
    91,758.64x = 6,516,571,395.36
  5. Step 5: Solve for x
    x = 6,516,571,395.36/91,758.64
  6. Step 6: Final answer
    x = 71,018.61

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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.