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Finding the Fourth Proportional to 65,210.46, 97,767.84 and 20,811.63

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Solution

The fourth proportional to 65,210.46, 97,767.84 and 20,811.63 is: 31,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.46 : 97,767.84 = 20,811.63 : x
  2. Step 2: Convert to fraction form
    65,210.46/97,767.84 = 20,811.63/x
  3. Step 3: Cross multiply
    65,210.46x = 97,767.84 × 20,811.63
  4. Step 4: Simplify right side
    65,210.46x = 2,034,708,111.98
  5. Step 5: Solve for x
    x = 2,034,708,111.98/65,210.46
  6. Step 6: Final answer
    x = 31,202.17

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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.