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Finding the Fourth Proportional to 135,428.40, 186,874.56 and 74,990.52

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Solution

The fourth proportional to 135,428.40, 186,874.56 and 74,990.52 is: 103,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,428.40 : 186,874.56 = 74,990.52 : x
  2. Step 2: Convert to fraction form
    135,428.40/186,874.56 = 74,990.52/x
  3. Step 3: Cross multiply
    135,428.40x = 186,874.56 × 74,990.52
  4. Step 4: Simplify right side
    135,428.40x = 14,013,820,429.17
  5. Step 5: Solve for x
    x = 14,013,820,429.17/135,428.40
  6. Step 6: Final answer
    x = 103,477.71

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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.