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Finding the Fourth Proportional to 121,574.80, 182,343.96 and 38,458

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Solution

The fourth proportional to 121,574.80, 182,343.96 and 38,458 is: 57,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,574.80 : 182,343.96 = 38,458 : x
  2. Step 2: Convert to fraction form
    121,574.80/182,343.96 = 38,458/x
  3. Step 3: Cross multiply
    121,574.80x = 182,343.96 × 38,458
  4. Step 4: Simplify right side
    121,574.80x = 7,012,584,013.68
  5. Step 5: Solve for x
    x = 7,012,584,013.68/121,574.80
  6. Step 6: Final answer
    x = 57,681.23

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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.