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Finding the Fourth Proportional to 205,476.40, 308,020.20 and 121,301.20

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Solution

The fourth proportional to 205,476.40, 308,020.20 and 121,301.20 is: 181,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,476.40 : 308,020.20 = 121,301.20 : x
  2. Step 2: Convert to fraction form
    205,476.40/308,020.20 = 121,301.20/x
  3. Step 3: Cross multiply
    205,476.40x = 308,020.20 × 121,301.20
  4. Step 4: Simplify right side
    205,476.40x = 37,363,219,884.24
  5. Step 5: Solve for x
    x = 37,363,219,884.24/205,476.40
  6. Step 6: Final answer
    x = 181,837.04

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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.