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Finding the Fourth Proportional to 225,182.84, 310,749.65 and 123,207.11

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Solution

The fourth proportional to 225,182.84, 310,749.65 and 123,207.11 is: 170,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,182.84 : 310,749.65 = 123,207.11 : x
  2. Step 2: Convert to fraction form
    225,182.84/310,749.65 = 123,207.11/x
  3. Step 3: Cross multiply
    225,182.84x = 310,749.65 × 123,207.11
  4. Step 4: Simplify right side
    225,182.84x = 38,286,565,767.57
  5. Step 5: Solve for x
    x = 38,286,565,767.57/225,182.84
  6. Step 6: Final answer
    x = 170,024.35

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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.