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Finding the Fourth Proportional to 206,123.40, 309,152.70 and 72,984.60

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Solution

The fourth proportional to 206,123.40, 309,152.70 and 72,984.60 is: 109,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,123.40 : 309,152.70 = 72,984.60 : x
  2. Step 2: Convert to fraction form
    206,123.40/309,152.70 = 72,984.60/x
  3. Step 3: Cross multiply
    206,123.40x = 309,152.70 × 72,984.60
  4. Step 4: Simplify right side
    206,123.40x = 22,563,386,148.42
  5. Step 5: Solve for x
    x = 22,563,386,148.42/206,123.40
  6. Step 6: Final answer
    x = 109,465.43

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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.