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Finding the Fourth Proportional to 208,807.72, 288,154.64 and 113,314.41

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Solution

The fourth proportional to 208,807.72, 288,154.64 and 113,314.41 is: 156,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.72 : 288,154.64 = 113,314.41 : x
  2. Step 2: Convert to fraction form
    208,807.72/288,154.64 = 113,314.41/x
  3. Step 3: Cross multiply
    208,807.72x = 288,154.64 × 113,314.41
  4. Step 4: Simplify right side
    208,807.72x = 32,652,073,959.30
  5. Step 5: Solve for x
    x = 32,652,073,959.30/208,807.72
  6. Step 6: Final answer
    x = 156,373.88

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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.