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Finding the Fourth Proportional to 121,564.80, 182,328.96 and 38,448

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Solution

The fourth proportional to 121,564.80, 182,328.96 and 38,448 is: 57,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,564.80 : 182,328.96 = 38,448 : x
  2. Step 2: Convert to fraction form
    121,564.80/182,328.96 = 38,448/x
  3. Step 3: Cross multiply
    121,564.80x = 182,328.96 × 38,448
  4. Step 4: Simplify right side
    121,564.80x = 7,010,183,854.08
  5. Step 5: Solve for x
    x = 7,010,183,854.08/121,564.80
  6. Step 6: Final answer
    x = 57,666.23

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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.