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Finding the Fourth Proportional to 209,576.15, 314,364.32 and 69,334.77

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Solution

The fourth proportional to 209,576.15, 314,364.32 and 69,334.77 is: 104,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576.15 : 314,364.32 = 69,334.77 : x
  2. Step 2: Convert to fraction form
    209,576.15/314,364.32 = 69,334.77/x
  3. Step 3: Cross multiply
    209,576.15x = 314,364.32 × 69,334.77
  4. Step 4: Simplify right side
    209,576.15x = 21,796,377,823.41
  5. Step 5: Solve for x
    x = 21,796,377,823.41/209,576.15
  6. Step 6: Final answer
    x = 104,002.19

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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.