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Finding the Fourth Proportional to 216,991.41, 299,448.14 and 121,500.15

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Solution

The fourth proportional to 216,991.41, 299,448.14 and 121,500.15 is: 167,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,991.41 : 299,448.14 = 121,500.15 : x
  2. Step 2: Convert to fraction form
    216,991.41/299,448.14 = 121,500.15/x
  3. Step 3: Cross multiply
    216,991.41x = 299,448.14 × 121,500.15
  4. Step 4: Simplify right side
    216,991.41x = 36,382,994,564.62
  5. Step 5: Solve for x
    x = 36,382,994,564.62/216,991.41
  6. Step 6: Final answer
    x = 167,670.21

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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.