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Finding the Fourth Proportional to 139,291.20, 192,221.86 and 75,629

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Solution

The fourth proportional to 139,291.20, 192,221.86 and 75,629 is: 104,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,291.20 : 192,221.86 = 75,629 : x
  2. Step 2: Convert to fraction form
    139,291.20/192,221.86 = 75,629/x
  3. Step 3: Cross multiply
    139,291.20x = 192,221.86 × 75,629
  4. Step 4: Simplify right side
    139,291.20x = 14,537,547,049.94
  5. Step 5: Solve for x
    x = 14,537,547,049.94/139,291.20
  6. Step 6: Final answer
    x = 104,368.02

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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.