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Finding the Fourth Proportional to 121,170.40, 181,784.40 and 51,013.60

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Solution

The fourth proportional to 121,170.40, 181,784.40 and 51,013.60 is: 76,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,170.40 : 181,784.40 = 51,013.60 : x
  2. Step 2: Convert to fraction form
    121,170.40/181,784.40 = 51,013.60/x
  3. Step 3: Cross multiply
    121,170.40x = 181,784.40 × 51,013.60
  4. Step 4: Simplify right side
    121,170.40x = 9,273,476,667.84
  5. Step 5: Solve for x
    x = 9,273,476,667.84/121,170.40
  6. Step 6: Final answer
    x = 76,532.53

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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.