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Finding the Fourth Proportional to 205,175.40, 307,590.30 and 106,679.40

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Solution

The fourth proportional to 205,175.40, 307,590.30 and 106,679.40 is: 159,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,175.40 : 307,590.30 = 106,679.40 : x
  2. Step 2: Convert to fraction form
    205,175.40/307,590.30 = 106,679.40/x
  3. Step 3: Cross multiply
    205,175.40x = 307,590.30 × 106,679.40
  4. Step 4: Simplify right side
    205,175.40x = 32,813,548,649.82
  5. Step 5: Solve for x
    x = 32,813,548,649.82/205,175.40
  6. Step 6: Final answer
    x = 159,929.25

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1.5x scale

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.