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Finding the Fourth Proportional to 142,572.92, 196,747.56 and 78,042.08

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Solution

The fourth proportional to 142,572.92, 196,747.56 and 78,042.08 is: 107,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.92 : 196,747.56 = 78,042.08 : x
  2. Step 2: Convert to fraction form
    142,572.92/196,747.56 = 78,042.08/x
  3. Step 3: Cross multiply
    142,572.92x = 196,747.56 × 78,042.08
  4. Step 4: Simplify right side
    142,572.92x = 15,354,588,817.32
  5. Step 5: Solve for x
    x = 15,354,588,817.32/142,572.92
  6. Step 6: Final answer
    x = 107,696.39

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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.