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Finding the Fourth Proportional to 139,132.84, 208,514.70 and 75,790.48

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Solution

The fourth proportional to 139,132.84, 208,514.70 and 75,790.48 is: 113,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,132.84 : 208,514.70 = 75,790.48 : x
  2. Step 2: Convert to fraction form
    139,132.84/208,514.70 = 75,790.48/x
  3. Step 3: Cross multiply
    139,132.84x = 208,514.70 × 75,790.48
  4. Step 4: Simplify right side
    139,132.84x = 15,803,429,200.06
  5. Step 5: Solve for x
    x = 15,803,429,200.06/139,132.84
  6. Step 6: Final answer
    x = 113,585.18

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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.