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Finding the Fourth Proportional to 224,062.80, 309,195 and 139,178.16

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Solution

The fourth proportional to 224,062.80, 309,195 and 139,178.16 is: 192,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062.80 : 309,195 = 139,178.16 : x
  2. Step 2: Convert to fraction form
    224,062.80/309,195 = 139,178.16/x
  3. Step 3: Cross multiply
    224,062.80x = 309,195 × 139,178.16
  4. Step 4: Simplify right side
    224,062.80x = 43,033,191,181.20
  5. Step 5: Solve for x
    x = 43,033,191,181.20/224,062.80
  6. Step 6: Final answer
    x = 192,058.62

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1.5x scale

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.