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Finding the Fourth Proportional to 65,208.49, 97,804.56 and 20,831.56

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Solution

The fourth proportional to 65,208.49, 97,804.56 and 20,831.56 is: 31,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.49 : 97,804.56 = 20,831.56 : x
  2. Step 2: Convert to fraction form
    65,208.49/97,804.56 = 20,831.56/x
  3. Step 3: Cross multiply
    65,208.49x = 97,804.56 × 20,831.56
  4. Step 4: Simplify right side
    65,208.49x = 2,037,421,070.89
  5. Step 5: Solve for x
    x = 2,037,421,070.89/65,208.49
  6. Step 6: Final answer
    x = 31,244.72

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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.