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Finding the Fourth Proportional to 135,446.89, 186,918.30 and 75,018.71

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Solution

The fourth proportional to 135,446.89, 186,918.30 and 75,018.71 is: 103,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,446.89 : 186,918.30 = 75,018.71 : x
  2. Step 2: Convert to fraction form
    135,446.89/186,918.30 = 75,018.71/x
  3. Step 3: Cross multiply
    135,446.89x = 186,918.30 × 75,018.71
  4. Step 4: Simplify right side
    135,446.89x = 14,022,369,741.39
  5. Step 5: Solve for x
    x = 14,022,369,741.39/135,446.89
  6. Step 6: Final answer
    x = 103,526.70

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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.