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Finding the Fourth Proportional to 120,148.60, 165,808.56 and 65,703.97

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Solution

The fourth proportional to 120,148.60, 165,808.56 and 65,703.97 is: 90,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.60 : 165,808.56 = 65,703.97 : x
  2. Step 2: Convert to fraction form
    120,148.60/165,808.56 = 65,703.97/x
  3. Step 3: Cross multiply
    120,148.60x = 165,808.56 × 65,703.97
  4. Step 4: Simplify right side
    120,148.60x = 10,894,280,651.98
  5. Step 5: Solve for x
    x = 10,894,280,651.98/120,148.60
  6. Step 6: Final answer
    x = 90,673.39

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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.