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Finding the Fourth Proportional to 216,753.84, 299,131.92 and 121,254.84

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Solution

The fourth proportional to 216,753.84, 299,131.92 and 121,254.84 is: 167,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,753.84 : 299,131.92 = 121,254.84 : x
  2. Step 2: Convert to fraction form
    216,753.84/299,131.92 = 121,254.84/x
  3. Step 3: Cross multiply
    216,753.84x = 299,131.92 × 121,254.84
  4. Step 4: Simplify right side
    216,753.84x = 36,271,193,098.49
  5. Step 5: Solve for x
    x = 36,271,193,098.49/216,753.84
  6. Step 6: Final answer
    x = 167,338.18

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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.