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Finding the Fourth Proportional to 137,041.57, 205,468.81 and 73,009.29

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Solution

The fourth proportional to 137,041.57, 205,468.81 and 73,009.29 is: 109,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.57 : 205,468.81 = 73,009.29 : x
  2. Step 2: Convert to fraction form
    137,041.57/205,468.81 = 73,009.29/x
  3. Step 3: Cross multiply
    137,041.57x = 205,468.81 × 73,009.29
  4. Step 4: Simplify right side
    137,041.57x = 15,001,130,634.12
  5. Step 5: Solve for x
    x = 15,001,130,634.12/137,041.57
  6. Step 6: Final answer
    x = 109,464.09

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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.