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Finding the Fourth Proportional to 206,030.40, 309,045.60 and 159,316.80

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Solution

The fourth proportional to 206,030.40, 309,045.60 and 159,316.80 is: 238,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030.40 : 309,045.60 = 159,316.80 : x
  2. Step 2: Convert to fraction form
    206,030.40/309,045.60 = 159,316.80/x
  3. Step 3: Cross multiply
    206,030.40x = 309,045.60 × 159,316.80
  4. Step 4: Simplify right side
    206,030.40x = 49,236,156,046.08
  5. Step 5: Solve for x
    x = 49,236,156,046.08/206,030.40
  6. Step 6: Final answer
    x = 238,975.20

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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.