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Finding the Fourth Proportional to 91,070.98, 136,523.78 and 31,874.36

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Solution

The fourth proportional to 91,070.98, 136,523.78 and 31,874.36 is: 47,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,070.98 : 136,523.78 = 31,874.36 : x
  2. Step 2: Convert to fraction form
    91,070.98/136,523.78 = 31,874.36/x
  3. Step 3: Cross multiply
    91,070.98x = 136,523.78 × 31,874.36
  4. Step 4: Simplify right side
    91,070.98x = 4,351,607,270.29
  5. Step 5: Solve for x
    x = 4,351,607,270.29/91,070.98
  6. Step 6: Final answer
    x = 47,782.59

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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.