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Finding the Fourth Proportional to 261,018.24, 391,661.28 and 127,896

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Solution

The fourth proportional to 261,018.24, 391,661.28 and 127,896 is: 191,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,018.24 : 391,661.28 = 127,896 : x
  2. Step 2: Convert to fraction form
    261,018.24/391,661.28 = 127,896/x
  3. Step 3: Cross multiply
    261,018.24x = 391,661.28 × 127,896
  4. Step 4: Simplify right side
    261,018.24x = 50,091,911,066.88
  5. Step 5: Solve for x
    x = 50,091,911,066.88/261,018.24
  6. Step 6: Final answer
    x = 191,909.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.