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Finding the Fourth Proportional to 224,059.80, 309,190.86 and 139,175.16

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Solution

The fourth proportional to 224,059.80, 309,190.86 and 139,175.16 is: 192,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,059.80 : 309,190.86 = 139,175.16 : x
  2. Step 2: Convert to fraction form
    224,059.80/309,190.86 = 139,175.16/x
  3. Step 3: Cross multiply
    224,059.80x = 309,190.86 × 139,175.16
  4. Step 4: Simplify right side
    224,059.80x = 43,031,687,411.04
  5. Step 5: Solve for x
    x = 43,031,687,411.04/224,059.80
  6. Step 6: Final answer
    x = 192,054.48

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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.