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Finding the Fourth Proportional to 135,097.34, 186,443.97 and 74,666.68

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Solution

The fourth proportional to 135,097.34, 186,443.97 and 74,666.68 is: 103,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.34 : 186,443.97 = 74,666.68 : x
  2. Step 2: Convert to fraction form
    135,097.34/186,443.97 = 74,666.68/x
  3. Step 3: Cross multiply
    135,097.34x = 186,443.97 × 74,666.68
  4. Step 4: Simplify right side
    135,097.34x = 13,921,151,919.81
  5. Step 5: Solve for x
    x = 13,921,151,919.81/135,097.34
  6. Step 6: Final answer
    x = 103,045.35

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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.