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Finding the Fourth Proportional to 65,582.72, 98,374.80 and 18,836

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Solution

The fourth proportional to 65,582.72, 98,374.80 and 18,836 is: 28,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,582.72 : 98,374.80 = 18,836 : x
  2. Step 2: Convert to fraction form
    65,582.72/98,374.80 = 18,836/x
  3. Step 3: Cross multiply
    65,582.72x = 98,374.80 × 18,836
  4. Step 4: Simplify right side
    65,582.72x = 1,852,987,732.80
  5. Step 5: Solve for x
    x = 1,852,987,732.80/65,582.72
  6. Step 6: Final answer
    x = 28,254.21

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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.