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Finding the Fourth Proportional to 208,851.20, 288,215.20 and 113,357.89

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Solution

The fourth proportional to 208,851.20, 288,215.20 and 113,357.89 is: 156,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.20 : 288,215.20 = 113,357.89 : x
  2. Step 2: Convert to fraction form
    208,851.20/288,215.20 = 113,357.89/x
  3. Step 3: Cross multiply
    208,851.20x = 288,215.20 × 113,357.89
  4. Step 4: Simplify right side
    208,851.20x = 32,671,467,556.06
  5. Step 5: Solve for x
    x = 32,671,467,556.06/208,851.20
  6. Step 6: Final answer
    x = 156,434.19

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1.5x scale

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.