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Finding the Fourth Proportional to 65,216.70, 97,812.23 and 20,831.49

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Solution

The fourth proportional to 65,216.70, 97,812.23 and 20,831.49 is: 31,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.70 : 97,812.23 = 20,831.49 : x
  2. Step 2: Convert to fraction form
    65,216.70/97,812.23 = 20,831.49/x
  3. Step 3: Cross multiply
    65,216.70x = 97,812.23 × 20,831.49
  4. Step 4: Simplify right side
    65,216.70x = 2,037,574,386.97
  5. Step 5: Solve for x
    x = 2,037,574,386.97/65,216.70
  6. Step 6: Final answer
    x = 31,243.14

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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.