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Finding the Fourth Proportional to 91,098.98, 136,675.11 and 31,939.46

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Solution

The fourth proportional to 91,098.98, 136,675.11 and 31,939.46 is: 47,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098.98 : 136,675.11 = 31,939.46 : x
  2. Step 2: Convert to fraction form
    91,098.98/136,675.11 = 31,939.46/x
  3. Step 3: Cross multiply
    91,098.98x = 136,675.11 × 31,939.46
  4. Step 4: Simplify right side
    91,098.98x = 4,365,329,208.84
  5. Step 5: Solve for x
    x = 4,365,329,208.84/91,098.98
  6. Step 6: Final answer
    x = 47,918.53

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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.