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Finding the Fourth Proportional to 65,913.49, 98,869.41 and 15,994

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Solution

The fourth proportional to 65,913.49, 98,869.41 and 15,994 is: 23,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,913.49 : 98,869.41 = 15,994 : x
  2. Step 2: Convert to fraction form
    65,913.49/98,869.41 = 15,994/x
  3. Step 3: Cross multiply
    65,913.49x = 98,869.41 × 15,994
  4. Step 4: Simplify right side
    65,913.49x = 1,581,317,343.54
  5. Step 5: Solve for x
    x = 1,581,317,343.54/65,913.49
  6. Step 6: Final answer
    x = 23,990.80

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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.