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Finding the Fourth Proportional to 137,207.72, 205,858.20 and 74,033.84

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Solution

The fourth proportional to 137,207.72, 205,858.20 and 74,033.84 is: 111,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,207.72 : 205,858.20 = 74,033.84 : x
  2. Step 2: Convert to fraction form
    137,207.72/205,858.20 = 74,033.84/x
  3. Step 3: Cross multiply
    137,207.72x = 205,858.20 × 74,033.84
  4. Step 4: Simplify right side
    137,207.72x = 15,240,473,041.49
  5. Step 5: Solve for x
    x = 15,240,473,041.49/137,207.72
  6. Step 6: Final answer
    x = 111,075.91

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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.