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Finding the Fourth Proportional to 65,161.53, 97,709.49 and 31,831.65

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Solution

The fourth proportional to 65,161.53, 97,709.49 and 31,831.65 is: 47,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161.53 : 97,709.49 = 31,831.65 : x
  2. Step 2: Convert to fraction form
    65,161.53/97,709.49 = 31,831.65/x
  3. Step 3: Cross multiply
    65,161.53x = 97,709.49 × 31,831.65
  4. Step 4: Simplify right side
    65,161.53x = 3,110,254,287.36
  5. Step 5: Solve for x
    x = 3,110,254,287.36/65,161.53
  6. Step 6: Final answer
    x = 47,731.45

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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.