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Finding the Fourth Proportional to 65,207.68, 97,816.76 and 20,840.76

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Solution

The fourth proportional to 65,207.68, 97,816.76 and 20,840.76 is: 31,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.68 : 97,816.76 = 20,840.76 : x
  2. Step 2: Convert to fraction form
    65,207.68/97,816.76 = 20,840.76/x
  3. Step 3: Cross multiply
    65,207.68x = 97,816.76 × 20,840.76
  4. Step 4: Simplify right side
    65,207.68x = 2,038,575,619.14
  5. Step 5: Solve for x
    x = 2,038,575,619.14/65,207.68
  6. Step 6: Final answer
    x = 31,262.81

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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.