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Finding the Fourth Proportional to 144,144, 216,160.92 and 69,242.80

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Solution

The fourth proportional to 144,144, 216,160.92 and 69,242.80 is: 103,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144 : 216,160.92 = 69,242.80 : x
  2. Step 2: Convert to fraction form
    144,144/216,160.92 = 69,242.80/x
  3. Step 3: Cross multiply
    144,144x = 216,160.92 × 69,242.80
  4. Step 4: Simplify right side
    144,144x = 14,967,587,351.38
  5. Step 5: Solve for x
    x = 14,967,587,351.38/144,144
  6. Step 6: Final answer
    x = 103,837.74

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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.