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Finding the Fourth Proportional to 132,871.60, 199,307.40 and 97,879.60

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Solution

The fourth proportional to 132,871.60, 199,307.40 and 97,879.60 is: 146,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,871.60 : 199,307.40 = 97,879.60 : x
  2. Step 2: Convert to fraction form
    132,871.60/199,307.40 = 97,879.60/x
  3. Step 3: Cross multiply
    132,871.60x = 199,307.40 × 97,879.60
  4. Step 4: Simplify right side
    132,871.60x = 19,508,128,589.04
  5. Step 5: Solve for x
    x = 19,508,128,589.04/132,871.60
  6. Step 6: Final answer
    x = 146,819.40

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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.