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Finding the Fourth Proportional to 137,415.55, 205,959.30 and 70,821.40

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Solution

The fourth proportional to 137,415.55, 205,959.30 and 70,821.40 is: 106,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.55 : 205,959.30 = 70,821.40 : x
  2. Step 2: Convert to fraction form
    137,415.55/205,959.30 = 70,821.40/x
  3. Step 3: Cross multiply
    137,415.55x = 205,959.30 × 70,821.40
  4. Step 4: Simplify right side
    137,415.55x = 14,586,325,969.02
  5. Step 5: Solve for x
    x = 14,586,325,969.02/137,415.55
  6. Step 6: Final answer
    x = 106,147.56

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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.