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Finding the Fourth Proportional to 220,143, 303,801.12 and 119,541

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Solution

The fourth proportional to 220,143, 303,801.12 and 119,541 is: 164,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,143 : 303,801.12 = 119,541 : x
  2. Step 2: Convert to fraction form
    220,143/303,801.12 = 119,541/x
  3. Step 3: Cross multiply
    220,143x = 303,801.12 × 119,541
  4. Step 4: Simplify right side
    220,143x = 36,316,689,685.92
  5. Step 5: Solve for x
    x = 36,316,689,685.92/220,143
  6. Step 6: Final answer
    x = 164,968.63

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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.