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Finding the Fourth Proportional to 209,117.10, 313,254.65 and 96,642.42

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Solution

The fourth proportional to 209,117.10, 313,254.65 and 96,642.42 is: 144,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,117.10 : 313,254.65 = 96,642.42 : x
  2. Step 2: Convert to fraction form
    209,117.10/313,254.65 = 96,642.42/x
  3. Step 3: Cross multiply
    209,117.10x = 313,254.65 × 96,642.42
  4. Step 4: Simplify right side
    209,117.10x = 30,273,687,452.25
  5. Step 5: Solve for x
    x = 30,273,687,452.25/209,117.10
  6. Step 6: Final answer
    x = 144,769.07

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