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Finding the Fourth Proportional to 257,672.52, 355,587.50 and 142,968.62

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Solution

The fourth proportional to 257,672.52, 355,587.50 and 142,968.62 is: 197,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,672.52 : 355,587.50 = 142,968.62 : x
  2. Step 2: Convert to fraction form
    257,672.52/355,587.50 = 142,968.62/x
  3. Step 3: Cross multiply
    257,672.52x = 355,587.50 × 142,968.62
  4. Step 4: Simplify right side
    257,672.52x = 50,837,854,164.25
  5. Step 5: Solve for x
    x = 50,837,854,164.25/257,672.52
  6. Step 6: Final answer
    x = 197,296.38

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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.