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Finding the Fourth Proportional to 216,872.68, 299,216.10 and 121,364.20

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Solution

The fourth proportional to 216,872.68, 299,216.10 and 121,364.20 is: 167,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,872.68 : 299,216.10 = 121,364.20 : x
  2. Step 2: Convert to fraction form
    216,872.68/299,216.10 = 121,364.20/x
  3. Step 3: Cross multiply
    216,872.68x = 299,216.10 × 121,364.20
  4. Step 4: Simplify right side
    216,872.68x = 36,314,122,603.62
  5. Step 5: Solve for x
    x = 36,314,122,603.62/216,872.68
  6. Step 6: Final answer
    x = 167,444.43

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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.