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Finding the Fourth Proportional to 208,867.01, 288,236.78 and 113,373.78

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Solution

The fourth proportional to 208,867.01, 288,236.78 and 113,373.78 is: 156,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,867.01 : 288,236.78 = 113,373.78 : x
  2. Step 2: Convert to fraction form
    208,867.01/288,236.78 = 113,373.78/x
  3. Step 3: Cross multiply
    208,867.01x = 288,236.78 × 113,373.78
  4. Step 4: Simplify right side
    208,867.01x = 32,678,492,061.02
  5. Step 5: Solve for x
    x = 32,678,492,061.02/208,867.01
  6. Step 6: Final answer
    x = 156,455.98

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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.