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Finding the Fourth Proportional to 199,689.49, 299,734.71 and 93,146.14

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Solution

The fourth proportional to 199,689.49, 299,734.71 and 93,146.14 is: 139,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,689.49 : 299,734.71 = 93,146.14 : x
  2. Step 2: Convert to fraction form
    199,689.49/299,734.71 = 93,146.14/x
  3. Step 3: Cross multiply
    199,689.49x = 299,734.71 × 93,146.14
  4. Step 4: Simplify right side
    199,689.49x = 27,919,131,260.52
  5. Step 5: Solve for x
    x = 27,919,131,260.52/199,689.49
  6. Step 6: Final answer
    x = 139,812.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.