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Finding the Fourth Proportional to 111,707.82, 167,681.10 and 45,191.43

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Solution

The fourth proportional to 111,707.82, 167,681.10 and 45,191.43 is: 67,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,707.82 : 167,681.10 = 45,191.43 : x
  2. Step 2: Convert to fraction form
    111,707.82/167,681.10 = 45,191.43/x
  3. Step 3: Cross multiply
    111,707.82x = 167,681.10 × 45,191.43
  4. Step 4: Simplify right side
    111,707.82x = 7,577,748,692.97
  5. Step 5: Solve for x
    x = 7,577,748,692.97/111,707.82
  6. Step 6: Final answer
    x = 67,835.44

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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.