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Finding the Fourth Proportional to 225,142.44, 310,666.14 and 128,358.78

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Solution

The fourth proportional to 225,142.44, 310,666.14 and 128,358.78 is: 177,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.44 : 310,666.14 = 128,358.78 : x
  2. Step 2: Convert to fraction form
    225,142.44/310,666.14 = 128,358.78/x
  3. Step 3: Cross multiply
    225,142.44x = 310,666.14 × 128,358.78
  4. Step 4: Simplify right side
    225,142.44x = 39,876,726,717.71
  5. Step 5: Solve for x
    x = 39,876,726,717.71/225,142.44
  6. Step 6: Final answer
    x = 177,117.77

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1.5x scale

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.