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Finding the Fourth Proportional to 179,820, 248,151.60 and 100,332

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Solution

The fourth proportional to 179,820, 248,151.60 and 100,332 is: 138,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,820 : 248,151.60 = 100,332 : x
  2. Step 2: Convert to fraction form
    179,820/248,151.60 = 100,332/x
  3. Step 3: Cross multiply
    179,820x = 248,151.60 × 100,332
  4. Step 4: Simplify right side
    179,820x = 24,897,546,331.20
  5. Step 5: Solve for x
    x = 24,897,546,331.20/179,820
  6. Step 6: Final answer
    x = 138,458.16

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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.