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Finding the Fourth Proportional to 225,256.52, 310,854.10 and 123,281.90

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Solution

The fourth proportional to 225,256.52, 310,854.10 and 123,281.90 is: 170,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,256.52 : 310,854.10 = 123,281.90 : x
  2. Step 2: Convert to fraction form
    225,256.52/310,854.10 = 123,281.90/x
  3. Step 3: Cross multiply
    225,256.52x = 310,854.10 × 123,281.90
  4. Step 4: Simplify right side
    225,256.52x = 38,322,684,070.79
  5. Step 5: Solve for x
    x = 38,322,684,070.79/225,256.52
  6. Step 6: Final answer
    x = 170,129.08

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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.