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Finding the Fourth Proportional to 172,716.16, 238,348.84 and 100,133.20

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Solution

The fourth proportional to 172,716.16, 238,348.84 and 100,133.20 is: 138,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,716.16 : 238,348.84 = 100,133.20 : x
  2. Step 2: Convert to fraction form
    172,716.16/238,348.84 = 100,133.20/x
  3. Step 3: Cross multiply
    172,716.16x = 238,348.84 × 100,133.20
  4. Step 4: Simplify right side
    172,716.16x = 23,866,632,065.49
  5. Step 5: Solve for x
    x = 23,866,632,065.49/172,716.16
  6. Step 6: Final answer
    x = 138,184.13

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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.