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Finding the Fourth Proportional to 257,251.52, 354,978.28 and 142,501.46

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Solution

The fourth proportional to 257,251.52, 354,978.28 and 142,501.46 is: 196,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,251.52 : 354,978.28 = 142,501.46 : x
  2. Step 2: Convert to fraction form
    257,251.52/354,978.28 = 142,501.46/x
  3. Step 3: Cross multiply
    257,251.52x = 354,978.28 × 142,501.46
  4. Step 4: Simplify right side
    257,251.52x = 50,584,921,037.14
  5. Step 5: Solve for x
    x = 50,584,921,037.14/257,251.52
  6. Step 6: Final answer
    x = 196,636.04

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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.