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Finding the Fourth Proportional to 216,480.48, 298,743.50 and 120,987.18

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Solution

The fourth proportional to 216,480.48, 298,743.50 and 120,987.18 is: 166,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,480.48 : 298,743.50 = 120,987.18 : x
  2. Step 2: Convert to fraction form
    216,480.48/298,743.50 = 120,987.18/x
  3. Step 3: Cross multiply
    216,480.48x = 298,743.50 × 120,987.18
  4. Step 4: Simplify right side
    216,480.48x = 36,144,133,608.33
  5. Step 5: Solve for x
    x = 36,144,133,608.33/216,480.48
  6. Step 6: Final answer
    x = 166,962.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.