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Finding the Fourth Proportional to 245,145.87, 338,264.46 and 137,695.32

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Solution

The fourth proportional to 245,145.87, 338,264.46 and 137,695.32 is: 189,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,145.87 : 338,264.46 = 137,695.32 : x
  2. Step 2: Convert to fraction form
    245,145.87/338,264.46 = 137,695.32/x
  3. Step 3: Cross multiply
    245,145.87x = 338,264.46 × 137,695.32
  4. Step 4: Simplify right side
    245,145.87x = 46,577,433,064.33
  5. Step 5: Solve for x
    x = 46,577,433,064.33/245,145.87
  6. Step 6: Final answer
    x = 189,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.