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Finding the Fourth Proportional to 142,080.60, 213,120.90 and 116,711.40

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Solution

The fourth proportional to 142,080.60, 213,120.90 and 116,711.40 is: 175,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080.60 : 213,120.90 = 116,711.40 : x
  2. Step 2: Convert to fraction form
    142,080.60/213,120.90 = 116,711.40/x
  3. Step 3: Cross multiply
    142,080.60x = 213,120.90 × 116,711.40
  4. Step 4: Simplify right side
    142,080.60x = 24,873,638,608.26
  5. Step 5: Solve for x
    x = 24,873,638,608.26/142,080.60
  6. Step 6: Final answer
    x = 175,067.10

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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.