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Finding the Fourth Proportional to 142,730.60, 213,891.10 and 104,996.20

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Solution

The fourth proportional to 142,730.60, 213,891.10 and 104,996.20 is: 157,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,730.60 : 213,891.10 = 104,996.20 : x
  2. Step 2: Convert to fraction form
    142,730.60/213,891.10 = 104,996.20/x
  3. Step 3: Cross multiply
    142,730.60x = 213,891.10 × 104,996.20
  4. Step 4: Simplify right side
    142,730.60x = 22,457,752,713.82
  5. Step 5: Solve for x
    x = 22,457,752,713.82/142,730.60
  6. Step 6: Final answer
    x = 157,343.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.