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Finding the Fourth Proportional to 121,470.40, 182,140.80 and 51,270.40

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Solution

The fourth proportional to 121,470.40, 182,140.80 and 51,270.40 is: 76,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470.40 : 182,140.80 = 51,270.40 : x
  2. Step 2: Convert to fraction form
    121,470.40/182,140.80 = 51,270.40/x
  3. Step 3: Cross multiply
    121,470.40x = 182,140.80 × 51,270.40
  4. Step 4: Simplify right side
    121,470.40x = 9,338,431,672.32
  5. Step 5: Solve for x
    x = 9,338,431,672.32/121,470.40
  6. Step 6: Final answer
    x = 76,878.25

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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.