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Finding the Fourth Proportional to 121,478.40, 182,152.80 and 51,278.40

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Solution

The fourth proportional to 121,478.40, 182,152.80 and 51,278.40 is: 76,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,478.40 : 182,152.80 = 51,278.40 : x
  2. Step 2: Convert to fraction form
    121,478.40/182,152.80 = 51,278.40/x
  3. Step 3: Cross multiply
    121,478.40x = 182,152.80 × 51,278.40
  4. Step 4: Simplify right side
    121,478.40x = 9,340,504,139.52
  5. Step 5: Solve for x
    x = 9,340,504,139.52/121,478.40
  6. Step 6: Final answer
    x = 76,890.25

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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.