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Finding the Fourth Proportional to 225,301.64, 310,931.27 and 129,814.49

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Solution

The fourth proportional to 225,301.64, 310,931.27 and 129,814.49 is: 179,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301.64 : 310,931.27 = 129,814.49 : x
  2. Step 2: Convert to fraction form
    225,301.64/310,931.27 = 129,814.49/x
  3. Step 3: Cross multiply
    225,301.64x = 310,931.27 × 129,814.49
  4. Step 4: Simplify right side
    225,301.64x = 40,363,384,240.10
  5. Step 5: Solve for x
    x = 40,363,384,240.10/225,301.64
  6. Step 6: Final answer
    x = 179,152.64

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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.