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Finding the Fourth Proportional to 65,230.66, 97,814.34 and 31,911.70

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Solution

The fourth proportional to 65,230.66, 97,814.34 and 31,911.70 is: 47,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.66 : 97,814.34 = 31,911.70 : x
  2. Step 2: Convert to fraction form
    65,230.66/97,814.34 = 31,911.70/x
  3. Step 3: Cross multiply
    65,230.66x = 97,814.34 × 31,911.70
  4. Step 4: Simplify right side
    65,230.66x = 3,121,421,873.78
  5. Step 5: Solve for x
    x = 3,121,421,873.78/65,230.66
  6. Step 6: Final answer
    x = 47,852.07

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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.