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Finding the Fourth Proportional to 209,930.64, 315,047.16 and 103,291.44

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Solution

The fourth proportional to 209,930.64, 315,047.16 and 103,291.44 is: 155,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,930.64 : 315,047.16 = 103,291.44 : x
  2. Step 2: Convert to fraction form
    209,930.64/315,047.16 = 103,291.44/x
  3. Step 3: Cross multiply
    209,930.64x = 315,047.16 × 103,291.44
  4. Step 4: Simplify right side
    209,930.64x = 32,541,674,824.31
  5. Step 5: Solve for x
    x = 32,541,674,824.31/209,930.64
  6. Step 6: Final answer
    x = 155,011.55

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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.