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Finding the Fourth Proportional to 137,237.20, 205,564.20 and 113,909.20

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Solution

The fourth proportional to 137,237.20, 205,564.20 and 113,909.20 is: 170,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,237.20 : 205,564.20 = 113,909.20 : x
  2. Step 2: Convert to fraction form
    137,237.20/205,564.20 = 113,909.20/x
  3. Step 3: Cross multiply
    137,237.20x = 205,564.20 × 113,909.20
  4. Step 4: Simplify right side
    137,237.20x = 23,415,653,570.64
  5. Step 5: Solve for x
    x = 23,415,653,570.64/137,237.20
  6. Step 6: Final answer
    x = 170,621.77

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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.