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Finding the Fourth Proportional to 222,907.38, 307,612.15 and 127,416.12

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Solution

The fourth proportional to 222,907.38, 307,612.15 and 127,416.12 is: 175,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,907.38 : 307,612.15 = 127,416.12 : x
  2. Step 2: Convert to fraction form
    222,907.38/307,612.15 = 127,416.12/x
  3. Step 3: Cross multiply
    222,907.38x = 307,612.15 × 127,416.12
  4. Step 4: Simplify right side
    222,907.38x = 39,194,746,617.86
  5. Step 5: Solve for x
    x = 39,194,746,617.86/222,907.38
  6. Step 6: Final answer
    x = 175,834.23

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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.