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Finding the Fourth Proportional to 208,851.30, 288,215.13 and 113,358

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Solution

The fourth proportional to 208,851.30, 288,215.13 and 113,358 is: 156,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.30 : 288,215.13 = 113,358 : x
  2. Step 2: Convert to fraction form
    208,851.30/288,215.13 = 113,358/x
  3. Step 3: Cross multiply
    208,851.30x = 288,215.13 × 113,358
  4. Step 4: Simplify right side
    208,851.30x = 32,671,490,706.54
  5. Step 5: Solve for x
    x = 32,671,490,706.54/208,851.30
  6. Step 6: Final answer
    x = 156,434.22

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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.