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Finding the Fourth Proportional to 65,285.30, 97,814.55 and 30,152.90

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Solution

The fourth proportional to 65,285.30, 97,814.55 and 30,152.90 is: 45,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,285.30 : 97,814.55 = 30,152.90 : x
  2. Step 2: Convert to fraction form
    65,285.30/97,814.55 = 30,152.90/x
  3. Step 3: Cross multiply
    65,285.30x = 97,814.55 × 30,152.90
  4. Step 4: Simplify right side
    65,285.30x = 2,949,392,344.70
  5. Step 5: Solve for x
    x = 2,949,392,344.70/65,285.30
  6. Step 6: Final answer
    x = 45,176.97

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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.