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Finding the Fourth Proportional to 98,238.74, 147,359.12 and 78,641.87

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Solution

The fourth proportional to 98,238.74, 147,359.12 and 78,641.87 is: 117,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,238.74 : 147,359.12 = 78,641.87 : x
  2. Step 2: Convert to fraction form
    98,238.74/147,359.12 = 78,641.87/x
  3. Step 3: Cross multiply
    98,238.74x = 147,359.12 × 78,641.87
  4. Step 4: Simplify right side
    98,238.74x = 11,588,595,628.35
  5. Step 5: Solve for x
    x = 11,588,595,628.35/98,238.74
  6. Step 6: Final answer
    x = 117,963.61

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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.