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Finding the Fourth Proportional to 225,092.79, 310,723.71 and 140,251.77

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Solution

The fourth proportional to 225,092.79, 310,723.71 and 140,251.77 is: 193,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,092.79 : 310,723.71 = 140,251.77 : x
  2. Step 2: Convert to fraction form
    225,092.79/310,723.71 = 140,251.77/x
  3. Step 3: Cross multiply
    225,092.79x = 310,723.71 × 140,251.77
  4. Step 4: Simplify right side
    225,092.79x = 43,579,550,308.47
  5. Step 5: Solve for x
    x = 43,579,550,308.47/225,092.79
  6. Step 6: Final answer
    x = 193,607.05

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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.