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Finding the Fourth Proportional to 207,788.20, 310,904.70 and 137,804.20

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Solution

The fourth proportional to 207,788.20, 310,904.70 and 137,804.20 is: 206,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788.20 : 310,904.70 = 137,804.20 : x
  2. Step 2: Convert to fraction form
    207,788.20/310,904.70 = 137,804.20/x
  3. Step 3: Cross multiply
    207,788.20x = 310,904.70 × 137,804.20
  4. Step 4: Simplify right side
    207,788.20x = 42,843,973,459.74
  5. Step 5: Solve for x
    x = 42,843,973,459.74/207,788.20
  6. Step 6: Final answer
    x = 206,190.60

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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.