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Finding the Fourth Proportional to 209,887.48, 314,714.56 and 85,082.68

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Solution

The fourth proportional to 209,887.48, 314,714.56 and 85,082.68 is: 127,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,887.48 : 314,714.56 = 85,082.68 : x
  2. Step 2: Convert to fraction form
    209,887.48/314,714.56 = 85,082.68/x
  3. Step 3: Cross multiply
    209,887.48x = 314,714.56 × 85,082.68
  4. Step 4: Simplify right side
    209,887.48x = 26,776,758,199.82
  5. Step 5: Solve for x
    x = 26,776,758,199.82/209,887.48
  6. Step 6: Final answer
    x = 127,576.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.