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Finding the Fourth Proportional to 216,120.84, 323,908.56 and 109,531.59

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Solution

The fourth proportional to 216,120.84, 323,908.56 and 109,531.59 is: 164,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,120.84 : 323,908.56 = 109,531.59 : x
  2. Step 2: Convert to fraction form
    216,120.84/323,908.56 = 109,531.59/x
  3. Step 3: Cross multiply
    216,120.84x = 323,908.56 × 109,531.59
  4. Step 4: Simplify right side
    216,120.84x = 35,478,219,591.41
  5. Step 5: Solve for x
    x = 35,478,219,591.41/216,120.84
  6. Step 6: Final answer
    x = 164,159.18

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1.5x scale

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.