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Finding the Fourth Proportional to 225,315.92, 310,931.16 and 123,338.72

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Solution

The fourth proportional to 225,315.92, 310,931.16 and 123,338.72 is: 170,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,315.92 : 310,931.16 = 123,338.72 : x
  2. Step 2: Convert to fraction form
    225,315.92/310,931.16 = 123,338.72/x
  3. Step 3: Cross multiply
    225,315.92x = 310,931.16 × 123,338.72
  4. Step 4: Simplify right side
    225,315.92x = 38,349,851,282.52
  5. Step 5: Solve for x
    x = 38,349,851,282.52/225,315.92
  6. Step 6: Final answer
    x = 170,204.80

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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.