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Finding the Fourth Proportional to 208,859.34, 288,226.14 and 113,366

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Solution

The fourth proportional to 208,859.34, 288,226.14 and 113,366 is: 156,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.34 : 288,226.14 = 113,366 : x
  2. Step 2: Convert to fraction form
    208,859.34/288,226.14 = 113,366/x
  3. Step 3: Cross multiply
    208,859.34x = 288,226.14 × 113,366
  4. Step 4: Simplify right side
    208,859.34x = 32,675,044,587.24
  5. Step 5: Solve for x
    x = 32,675,044,587.24/208,859.34
  6. Step 6: Final answer
    x = 156,445.22

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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.