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Finding the Fourth Proportional to 257,142.34, 385,738.88 and 88,640.48

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Solution

The fourth proportional to 257,142.34, 385,738.88 and 88,640.48 is: 132,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.34 : 385,738.88 = 88,640.48 : x
  2. Step 2: Convert to fraction form
    257,142.34/385,738.88 = 88,640.48/x
  3. Step 3: Cross multiply
    257,142.34x = 385,738.88 × 88,640.48
  4. Step 4: Simplify right side
    257,142.34x = 34,192,079,477.86
  5. Step 5: Solve for x
    x = 34,192,079,477.86/257,142.34
  6. Step 6: Final answer
    x = 132,969.47

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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.