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Finding the Fourth Proportional to 253,637.68, 350,027.60 and 140,458

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Solution

The fourth proportional to 253,637.68, 350,027.60 and 140,458 is: 193,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,637.68 : 350,027.60 = 140,458 : x
  2. Step 2: Convert to fraction form
    253,637.68/350,027.60 = 140,458/x
  3. Step 3: Cross multiply
    253,637.68x = 350,027.60 × 140,458
  4. Step 4: Simplify right side
    253,637.68x = 49,164,176,640.80
  5. Step 5: Solve for x
    x = 49,164,176,640.80/253,637.68
  6. Step 6: Final answer
    x = 193,836.25

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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.