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Finding the Fourth Proportional to 98,239.74, 147,360.62 and 78,642.87

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Solution

The fourth proportional to 98,239.74, 147,360.62 and 78,642.87 is: 117,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,239.74 : 147,360.62 = 78,642.87 : x
  2. Step 2: Convert to fraction form
    98,239.74/147,360.62 = 78,642.87/x
  3. Step 3: Cross multiply
    98,239.74x = 147,360.62 × 78,642.87
  4. Step 4: Simplify right side
    98,239.74x = 11,588,862,081.78
  5. Step 5: Solve for x
    x = 11,588,862,081.78/98,239.74
  6. Step 6: Final answer
    x = 117,965.11

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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.