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Finding the Fourth Proportional to 216,822.17, 299,200.15 and 120,019.48

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Solution

The fourth proportional to 216,822.17, 299,200.15 and 120,019.48 is: 165,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,822.17 : 299,200.15 = 120,019.48 : x
  2. Step 2: Convert to fraction form
    216,822.17/299,200.15 = 120,019.48/x
  3. Step 3: Cross multiply
    216,822.17x = 299,200.15 × 120,019.48
  4. Step 4: Simplify right side
    216,822.17x = 35,909,845,145.84
  5. Step 5: Solve for x
    x = 35,909,845,145.84/216,822.17
  6. Step 6: Final answer
    x = 165,618.88

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1.5x scale

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.