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Finding the Fourth Proportional to 208,344.06, 287,514.90 and 112,851

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Solution

The fourth proportional to 208,344.06, 287,514.90 and 112,851 is: 155,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,344.06 : 287,514.90 = 112,851 : x
  2. Step 2: Convert to fraction form
    208,344.06/287,514.90 = 112,851/x
  3. Step 3: Cross multiply
    208,344.06x = 287,514.90 × 112,851
  4. Step 4: Simplify right side
    208,344.06x = 32,446,343,979.90
  5. Step 5: Solve for x
    x = 32,446,343,979.90/208,344.06
  6. Step 6: Final answer
    x = 155,734.43

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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.