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Finding the Fourth Proportional to 65,185.65, 97,716.06 and 20,787.93

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Solution

The fourth proportional to 65,185.65, 97,716.06 and 20,787.93 is: 31,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.65 : 97,716.06 = 20,787.93 : x
  2. Step 2: Convert to fraction form
    65,185.65/97,716.06 = 20,787.93/x
  3. Step 3: Cross multiply
    65,185.65x = 97,716.06 × 20,787.93
  4. Step 4: Simplify right side
    65,185.65x = 2,031,314,615.16
  5. Step 5: Solve for x
    x = 2,031,314,615.16/65,185.65
  6. Step 6: Final answer
    x = 31,161.99

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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.