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Finding the Fourth Proportional to 223,394.70, 308,287.80 and 121,420.13

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Solution

The fourth proportional to 223,394.70, 308,287.80 and 121,420.13 is: 167,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,394.70 : 308,287.80 = 121,420.13 : x
  2. Step 2: Convert to fraction form
    223,394.70/308,287.80 = 121,420.13/x
  3. Step 3: Cross multiply
    223,394.70x = 308,287.80 × 121,420.13
  4. Step 4: Simplify right side
    223,394.70x = 37,432,344,753.41
  5. Step 5: Solve for x
    x = 37,432,344,753.41/223,394.70
  6. Step 6: Final answer
    x = 167,561.47

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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.