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Finding the Fourth Proportional to 209,881.13, 314,821.69 and 76,688.78

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Solution

The fourth proportional to 209,881.13, 314,821.69 and 76,688.78 is: 115,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.13 : 314,821.69 = 76,688.78 : x
  2. Step 2: Convert to fraction form
    209,881.13/314,821.69 = 76,688.78/x
  3. Step 3: Cross multiply
    209,881.13x = 314,821.69 × 76,688.78
  4. Step 4: Simplify right side
    209,881.13x = 24,143,289,557.81
  5. Step 5: Solve for x
    x = 24,143,289,557.81/209,881.13
  6. Step 6: Final answer
    x = 115,033.16

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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.