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Finding the Fourth Proportional to 159,112.97, 219,521.25 and 98,661.86

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Solution

The fourth proportional to 159,112.97, 219,521.25 and 98,661.86 is: 136,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,112.97 : 219,521.25 = 98,661.86 : x
  2. Step 2: Convert to fraction form
    159,112.97/219,521.25 = 98,661.86/x
  3. Step 3: Cross multiply
    159,112.97x = 219,521.25 × 98,661.86
  4. Step 4: Simplify right side
    159,112.97x = 21,658,374,834.53
  5. Step 5: Solve for x
    x = 21,658,374,834.53/159,112.97
  6. Step 6: Final answer
    x = 136,119.48

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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.