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Finding the Fourth Proportional to 65,257.80, 97,890.42 and 18,507

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Solution

The fourth proportional to 65,257.80, 97,890.42 and 18,507 is: 27,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.80 : 97,890.42 = 18,507 : x
  2. Step 2: Convert to fraction form
    65,257.80/97,890.42 = 18,507/x
  3. Step 3: Cross multiply
    65,257.80x = 97,890.42 × 18,507
  4. Step 4: Simplify right side
    65,257.80x = 1,811,658,002.94
  5. Step 5: Solve for x
    x = 1,811,658,002.94/65,257.80
  6. Step 6: Final answer
    x = 27,761.55

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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.