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Finding the Fourth Proportional to 209,631.88, 314,497.02 and 69,390.50

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Solution

The fourth proportional to 209,631.88, 314,497.02 and 69,390.50 is: 104,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,631.88 : 314,497.02 = 69,390.50 : x
  2. Step 2: Convert to fraction form
    209,631.88/314,497.02 = 69,390.50/x
  3. Step 3: Cross multiply
    209,631.88x = 314,497.02 × 69,390.50
  4. Step 4: Simplify right side
    209,631.88x = 21,823,105,466.31
  5. Step 5: Solve for x
    x = 21,823,105,466.31/209,631.88
  6. Step 6: Final answer
    x = 104,102.04

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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.