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Finding the Fourth Proportional to 141,920.76, 195,859.54 and 78,258.52

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Solution

The fourth proportional to 141,920.76, 195,859.54 and 78,258.52 is: 108,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,920.76 : 195,859.54 = 78,258.52 : x
  2. Step 2: Convert to fraction form
    141,920.76/195,859.54 = 78,258.52/x
  3. Step 3: Cross multiply
    141,920.76x = 195,859.54 × 78,258.52
  4. Step 4: Simplify right side
    141,920.76x = 15,327,677,728.28
  5. Step 5: Solve for x
    x = 15,327,677,728.28/141,920.76
  6. Step 6: Final answer
    x = 108,001.66

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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.