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Finding the Fourth Proportional to 216,851.84, 299,249.10 and 120,060

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Solution

The fourth proportional to 216,851.84, 299,249.10 and 120,060 is: 165,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,851.84 : 299,249.10 = 120,060 : x
  2. Step 2: Convert to fraction form
    216,851.84/299,249.10 = 120,060/x
  3. Step 3: Cross multiply
    216,851.84x = 299,249.10 × 120,060
  4. Step 4: Simplify right side
    216,851.84x = 35,927,846,946
  5. Step 5: Solve for x
    x = 35,927,846,946/216,851.84
  6. Step 6: Final answer
    x = 165,679.24

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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.