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Finding the Fourth Proportional to 57,521, 86,281.50 and 18,609

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Solution

The fourth proportional to 57,521, 86,281.50 and 18,609 is: 27,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,521 : 86,281.50 = 18,609 : x
  2. Step 2: Convert to fraction form
    57,521/86,281.50 = 18,609/x
  3. Step 3: Cross multiply
    57,521x = 86,281.50 × 18,609
  4. Step 4: Simplify right side
    57,521x = 1,605,612,433.50
  5. Step 5: Solve for x
    x = 1,605,612,433.50/57,521
  6. Step 6: Final answer
    x = 27,913.50

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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.