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Finding the Fourth Proportional to 208,937.16, 288,339.12 and 113,449.68

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Solution

The fourth proportional to 208,937.16, 288,339.12 and 113,449.68 is: 156,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937.16 : 288,339.12 = 113,449.68 : x
  2. Step 2: Convert to fraction form
    208,937.16/288,339.12 = 113,449.68/x
  3. Step 3: Cross multiply
    208,937.16x = 288,339.12 × 113,449.68
  4. Step 4: Simplify right side
    208,937.16x = 32,711,980,895.48
  5. Step 5: Solve for x
    x = 32,711,980,895.48/208,937.16
  6. Step 6: Final answer
    x = 156,563.73

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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.