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Finding the Fourth Proportional to 66,353, 91,567.14 and 36,545

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Solution

The fourth proportional to 66,353, 91,567.14 and 36,545 is: 50,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,353 : 91,567.14 = 36,545 : x
  2. Step 2: Convert to fraction form
    66,353/91,567.14 = 36,545/x
  3. Step 3: Cross multiply
    66,353x = 91,567.14 × 36,545
  4. Step 4: Simplify right side
    66,353x = 3,346,321,131.30
  5. Step 5: Solve for x
    x = 3,346,321,131.30/66,353
  6. Step 6: Final answer
    x = 50,432.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.