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Finding the Fourth Proportional to 142,657.78, 196,865.32 and 78,994.20

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Solution

The fourth proportional to 142,657.78, 196,865.32 and 78,994.20 is: 109,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.78 : 196,865.32 = 78,994.20 : x
  2. Step 2: Convert to fraction form
    142,657.78/196,865.32 = 78,994.20/x
  3. Step 3: Cross multiply
    142,657.78x = 196,865.32 × 78,994.20
  4. Step 4: Simplify right side
    142,657.78x = 15,551,218,461.14
  5. Step 5: Solve for x
    x = 15,551,218,461.14/142,657.78
  6. Step 6: Final answer
    x = 109,010.66

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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.