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Finding the Fourth Proportional to 257,512.59, 355,368.14 and 142,799.31

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Solution

The fourth proportional to 257,512.59, 355,368.14 and 142,799.31 is: 197,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,512.59 : 355,368.14 = 142,799.31 : x
  2. Step 2: Convert to fraction form
    257,512.59/355,368.14 = 142,799.31/x
  3. Step 3: Cross multiply
    257,512.59x = 355,368.14 × 142,799.31
  4. Step 4: Simplify right side
    257,512.59x = 50,746,325,187.98
  5. Step 5: Solve for x
    x = 50,746,325,187.98/257,512.59
  6. Step 6: Final answer
    x = 197,063.47

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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.