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Finding the Fourth Proportional to 206,803.39, 285,316 and 135,225.31

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Solution

The fourth proportional to 206,803.39, 285,316 and 135,225.31 is: 186,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.39 : 285,316 = 135,225.31 : x
  2. Step 2: Convert to fraction form
    206,803.39/285,316 = 135,225.31/x
  3. Step 3: Cross multiply
    206,803.39x = 285,316 × 135,225.31
  4. Step 4: Simplify right side
    206,803.39x = 38,581,944,547.96
  5. Step 5: Solve for x
    x = 38,581,944,547.96/206,803.39
  6. Step 6: Final answer
    x = 186,563.40

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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.