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Finding the Fourth Proportional to 253,165.64, 349,367.66 and 142,775.52

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Solution

The fourth proportional to 253,165.64, 349,367.66 and 142,775.52 is: 197,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,165.64 : 349,367.66 = 142,775.52 : x
  2. Step 2: Convert to fraction form
    253,165.64/349,367.66 = 142,775.52/x
  3. Step 3: Cross multiply
    253,165.64x = 349,367.66 × 142,775.52
  4. Step 4: Simplify right side
    253,165.64x = 49,881,149,327.68
  5. Step 5: Solve for x
    x = 49,881,149,327.68/253,165.64
  6. Step 6: Final answer
    x = 197,029.70

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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.