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Finding the Fourth Proportional to 65,108.34, 97,662.51 and 20,748.69

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Solution

The fourth proportional to 65,108.34, 97,662.51 and 20,748.69 is: 31,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.34 : 97,662.51 = 20,748.69 : x
  2. Step 2: Convert to fraction form
    65,108.34/97,662.51 = 20,748.69/x
  3. Step 3: Cross multiply
    65,108.34x = 97,662.51 × 20,748.69
  4. Step 4: Simplify right side
    65,108.34x = 2,026,369,144.61
  5. Step 5: Solve for x
    x = 2,026,369,144.61/65,108.34
  6. Step 6: Final answer
    x = 31,123.04

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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.