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Finding the Fourth Proportional to 225,762, 311,561.28 and 125,160

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Solution

The fourth proportional to 225,762, 311,561.28 and 125,160 is: 172,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,762 : 311,561.28 = 125,160 : x
  2. Step 2: Convert to fraction form
    225,762/311,561.28 = 125,160/x
  3. Step 3: Cross multiply
    225,762x = 311,561.28 × 125,160
  4. Step 4: Simplify right side
    225,762x = 38,995,009,804.80
  5. Step 5: Solve for x
    x = 38,995,009,804.80/225,762
  6. Step 6: Final answer
    x = 172,726.19

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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.