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Finding the Fourth Proportional to 137,720.70, 206,581.05 and 95,730.30

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Solution

The fourth proportional to 137,720.70, 206,581.05 and 95,730.30 is: 143,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.70 : 206,581.05 = 95,730.30 : x
  2. Step 2: Convert to fraction form
    137,720.70/206,581.05 = 95,730.30/x
  3. Step 3: Cross multiply
    137,720.70x = 206,581.05 × 95,730.30
  4. Step 4: Simplify right side
    137,720.70x = 19,776,065,890.82
  5. Step 5: Solve for x
    x = 19,776,065,890.82/137,720.70
  6. Step 6: Final answer
    x = 143,595.45

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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.