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Finding the Fourth Proportional to 65,168, 97,752.96 and 15,920

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Solution

The fourth proportional to 65,168, 97,752.96 and 15,920 is: 23,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168 : 97,752.96 = 15,920 : x
  2. Step 2: Convert to fraction form
    65,168/97,752.96 = 15,920/x
  3. Step 3: Cross multiply
    65,168x = 97,752.96 × 15,920
  4. Step 4: Simplify right side
    65,168x = 1,556,227,123.20
  5. Step 5: Solve for x
    x = 1,556,227,123.20/65,168
  6. Step 6: Final answer
    x = 23,880.23

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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.