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Finding the Fourth Proportional to 216,298.63, 324,447.93 and 81,388.06

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Solution

The fourth proportional to 216,298.63, 324,447.93 and 81,388.06 is: 122,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,298.63 : 324,447.93 = 81,388.06 : x
  2. Step 2: Convert to fraction form
    216,298.63/324,447.93 = 81,388.06/x
  3. Step 3: Cross multiply
    216,298.63x = 324,447.93 × 81,388.06
  4. Step 4: Simplify right side
    216,298.63x = 26,406,187,593.72
  5. Step 5: Solve for x
    x = 26,406,187,593.72/216,298.63
  6. Step 6: Final answer
    x = 122,082.08

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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.