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Finding the Fourth Proportional to 98,115.71, 135,403.85 and 55,678.19

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Solution

The fourth proportional to 98,115.71, 135,403.85 and 55,678.19 is: 76,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,115.71 : 135,403.85 = 55,678.19 : x
  2. Step 2: Convert to fraction form
    98,115.71/135,403.85 = 55,678.19/x
  3. Step 3: Cross multiply
    98,115.71x = 135,403.85 × 55,678.19
  4. Step 4: Simplify right side
    98,115.71x = 7,539,040,749.21
  5. Step 5: Solve for x
    x = 7,539,040,749.21/98,115.71
  6. Step 6: Final answer
    x = 76,838.27

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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.