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Finding the Fourth Proportional to 208,873.47, 288,243.42 and 113,378.12

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Solution

The fourth proportional to 208,873.47, 288,243.42 and 113,378.12 is: 156,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,873.47 : 288,243.42 = 113,378.12 : x
  2. Step 2: Convert to fraction form
    208,873.47/288,243.42 = 113,378.12/x
  3. Step 3: Cross multiply
    208,873.47x = 288,243.42 × 113,378.12
  4. Step 4: Simplify right side
    208,873.47x = 32,680,497,061.97
  5. Step 5: Solve for x
    x = 32,680,497,061.97/208,873.47
  6. Step 6: Final answer
    x = 156,460.74

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1.5x scale

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.