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Finding the Fourth Proportional to 135,656, 187,202.08 and 75,226.08

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Solution

The fourth proportional to 135,656, 187,202.08 and 75,226.08 is: 103,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,656 : 187,202.08 = 75,226.08 : x
  2. Step 2: Convert to fraction form
    135,656/187,202.08 = 75,226.08/x
  3. Step 3: Cross multiply
    135,656x = 187,202.08 × 75,226.08
  4. Step 4: Simplify right side
    135,656x = 14,082,478,646.25
  5. Step 5: Solve for x
    x = 14,082,478,646.25/135,656
  6. Step 6: Final answer
    x = 103,810.22

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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.