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Finding the Fourth Proportional to 257,082.04, 385,618.92 and 70,093.54

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Solution

The fourth proportional to 257,082.04, 385,618.92 and 70,093.54 is: 105,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082.04 : 385,618.92 = 70,093.54 : x
  2. Step 2: Convert to fraction form
    257,082.04/385,618.92 = 70,093.54/x
  3. Step 3: Cross multiply
    257,082.04x = 385,618.92 × 70,093.54
  4. Step 4: Simplify right side
    257,082.04x = 27,029,395,193.78
  5. Step 5: Solve for x
    x = 27,029,395,193.78/257,082.04
  6. Step 6: Final answer
    x = 105,139.18

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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.