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Finding the Fourth Proportional to 135,459.98, 186,941.46 and 81,744.08

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Solution

The fourth proportional to 135,459.98, 186,941.46 and 81,744.08 is: 112,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459.98 : 186,941.46 = 81,744.08 : x
  2. Step 2: Convert to fraction form
    135,459.98/186,941.46 = 81,744.08/x
  3. Step 3: Cross multiply
    135,459.98x = 186,941.46 × 81,744.08
  4. Step 4: Simplify right side
    135,459.98x = 15,281,357,661.56
  5. Step 5: Solve for x
    x = 15,281,357,661.56/135,459.98
  6. Step 6: Final answer
    x = 112,810.87

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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.