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Finding the Fourth Proportional to 209,006.60, 313,509.90 and 68,731.40

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Solution

The fourth proportional to 209,006.60, 313,509.90 and 68,731.40 is: 103,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,006.60 : 313,509.90 = 68,731.40 : x
  2. Step 2: Convert to fraction form
    209,006.60/313,509.90 = 68,731.40/x
  3. Step 3: Cross multiply
    209,006.60x = 313,509.90 × 68,731.40
  4. Step 4: Simplify right side
    209,006.60x = 21,547,974,340.86
  5. Step 5: Solve for x
    x = 21,547,974,340.86/209,006.60
  6. Step 6: Final answer
    x = 103,097.10

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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.