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Finding the Fourth Proportional to 91,422.78, 137,069.76 and 35,215.80

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Solution

The fourth proportional to 91,422.78, 137,069.76 and 35,215.80 is: 52,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,422.78 : 137,069.76 = 35,215.80 : x
  2. Step 2: Convert to fraction form
    91,422.78/137,069.76 = 35,215.80/x
  3. Step 3: Cross multiply
    91,422.78x = 137,069.76 × 35,215.80
  4. Step 4: Simplify right side
    91,422.78x = 4,827,021,254.21
  5. Step 5: Solve for x
    x = 4,827,021,254.21/91,422.78
  6. Step 6: Final answer
    x = 52,798.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.