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Finding the Fourth Proportional to 137,951.45, 190,378.01 and 77,523.29

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Solution

The fourth proportional to 137,951.45, 190,378.01 and 77,523.29 is: 106,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.45 : 190,378.01 = 77,523.29 : x
  2. Step 2: Convert to fraction form
    137,951.45/190,378.01 = 77,523.29/x
  3. Step 3: Cross multiply
    137,951.45x = 190,378.01 × 77,523.29
  4. Step 4: Simplify right side
    137,951.45x = 14,758,729,678.85
  5. Step 5: Solve for x
    x = 14,758,729,678.85/137,951.45
  6. Step 6: Final answer
    x = 106,984.96

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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.