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Finding the Fourth Proportional to 98,081.78, 147,212.87 and 76,036.82

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Solution

The fourth proportional to 98,081.78, 147,212.87 and 76,036.82 is: 114,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081.78 : 147,212.87 = 76,036.82 : x
  2. Step 2: Convert to fraction form
    98,081.78/147,212.87 = 76,036.82/x
  3. Step 3: Cross multiply
    98,081.78x = 147,212.87 × 76,036.82
  4. Step 4: Simplify right side
    98,081.78x = 11,193,597,381.63
  5. Step 5: Solve for x
    x = 11,193,597,381.63/98,081.78
  6. Step 6: Final answer
    x = 114,125.15

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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.