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Finding the Fourth Proportional to 91,397, 126,145.14 and 51,653

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Solution

The fourth proportional to 91,397, 126,145.14 and 51,653 is: 71,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,397 : 126,145.14 = 51,653 : x
  2. Step 2: Convert to fraction form
    91,397/126,145.14 = 51,653/x
  3. Step 3: Cross multiply
    91,397x = 126,145.14 × 51,653
  4. Step 4: Simplify right side
    91,397x = 6,515,774,916.42
  5. Step 5: Solve for x
    x = 6,515,774,916.42/91,397
  6. Step 6: Final answer
    x = 71,290.91

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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.