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Finding the Fourth Proportional to 207,767.20, 310,873.20 and 137,783.20

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Solution

The fourth proportional to 207,767.20, 310,873.20 and 137,783.20 is: 206,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,767.20 : 310,873.20 = 137,783.20 : x
  2. Step 2: Convert to fraction form
    207,767.20/310,873.20 = 137,783.20/x
  3. Step 3: Cross multiply
    207,767.20x = 310,873.20 × 137,783.20
  4. Step 4: Simplify right side
    207,767.20x = 42,833,104,290.24
  5. Step 5: Solve for x
    x = 42,833,104,290.24/207,767.20
  6. Step 6: Final answer
    x = 206,159.13

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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.