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Finding the Fourth Proportional to 257,116.48, 385,721.70 and 79,611.46

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Solution

The fourth proportional to 257,116.48, 385,721.70 and 79,611.46 is: 119,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,116.48 : 385,721.70 = 79,611.46 : x
  2. Step 2: Convert to fraction form
    257,116.48/385,721.70 = 79,611.46/x
  3. Step 3: Cross multiply
    257,116.48x = 385,721.70 × 79,611.46
  4. Step 4: Simplify right side
    257,116.48x = 30,707,866,427.83
  5. Step 5: Solve for x
    x = 30,707,866,427.83/257,116.48
  6. Step 6: Final answer
    x = 119,431.73

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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.