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Finding the Fourth Proportional to 225,748, 311,532.28 and 125,146

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Solution

The fourth proportional to 225,748, 311,532.28 and 125,146 is: 172,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,748 : 311,532.28 = 125,146 : x
  2. Step 2: Convert to fraction form
    225,748/311,532.28 = 125,146/x
  3. Step 3: Cross multiply
    225,748x = 311,532.28 × 125,146
  4. Step 4: Simplify right side
    225,748x = 38,987,018,712.88
  5. Step 5: Solve for x
    x = 38,987,018,712.88/225,748
  6. Step 6: Final answer
    x = 172,701.50

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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.