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Finding the Fourth Proportional to 142,097.66, 196,094.79 and 78,435.48

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Solution

The fourth proportional to 142,097.66, 196,094.79 and 78,435.48 is: 108,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097.66 : 196,094.79 = 78,435.48 : x
  2. Step 2: Convert to fraction form
    142,097.66/196,094.79 = 78,435.48/x
  3. Step 3: Cross multiply
    142,097.66x = 196,094.79 × 78,435.48
  4. Step 4: Simplify right side
    142,097.66x = 15,380,788,979.15
  5. Step 5: Solve for x
    x = 15,380,788,979.15/142,097.66
  6. Step 6: Final answer
    x = 108,240.97

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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.