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Finding the Fourth Proportional to 208,988.64, 288,406.44 and 113,497.20

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Solution

The fourth proportional to 208,988.64, 288,406.44 and 113,497.20 is: 156,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988.64 : 288,406.44 = 113,497.20 : x
  2. Step 2: Convert to fraction form
    208,988.64/288,406.44 = 113,497.20/x
  3. Step 3: Cross multiply
    208,988.64x = 288,406.44 × 113,497.20
  4. Step 4: Simplify right side
    208,988.64x = 32,733,323,401.97
  5. Step 5: Solve for x
    x = 32,733,323,401.97/208,988.64
  6. Step 6: Final answer
    x = 156,627.29

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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.