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Finding the Fourth Proportional to 216,998.49, 299,462.74 and 123,862.35

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Solution

The fourth proportional to 216,998.49, 299,462.74 and 123,862.35 is: 170,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,998.49 : 299,462.74 = 123,862.35 : x
  2. Step 2: Convert to fraction form
    216,998.49/299,462.74 = 123,862.35/x
  3. Step 3: Cross multiply
    216,998.49x = 299,462.74 × 123,862.35
  4. Step 4: Simplify right side
    216,998.49x = 37,092,157,216.53
  5. Step 5: Solve for x
    x = 37,092,157,216.53/216,998.49
  6. Step 6: Final answer
    x = 170,932.79

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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.