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Finding the Fourth Proportional to 206,421, 309,683.52 and 58,677

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Solution

The fourth proportional to 206,421, 309,683.52 and 58,677 is: 88,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421 : 309,683.52 = 58,677 : x
  2. Step 2: Convert to fraction form
    206,421/309,683.52 = 58,677/x
  3. Step 3: Cross multiply
    206,421x = 309,683.52 × 58,677
  4. Step 4: Simplify right side
    206,421x = 18,171,299,903.04
  5. Step 5: Solve for x
    x = 18,171,299,903.04/206,421
  6. Step 6: Final answer
    x = 88,030.29

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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.