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Finding the Fourth Proportional to 65,029.80, 97,431.30 and 29,897.40

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Solution

The fourth proportional to 65,029.80, 97,431.30 and 29,897.40 is: 44,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.80 : 97,431.30 = 29,897.40 : x
  2. Step 2: Convert to fraction form
    65,029.80/97,431.30 = 29,897.40/x
  3. Step 3: Cross multiply
    65,029.80x = 97,431.30 × 29,897.40
  4. Step 4: Simplify right side
    65,029.80x = 2,912,942,548.62
  5. Step 5: Solve for x
    x = 2,912,942,548.62/65,029.80
  6. Step 6: Final answer
    x = 44,793.96

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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.