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Finding the Fourth Proportional to 224,172, 309,357.36 and 123,572.16

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Solution

The fourth proportional to 224,172, 309,357.36 and 123,572.16 is: 170,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,172 : 309,357.36 = 123,572.16 : x
  2. Step 2: Convert to fraction form
    224,172/309,357.36 = 123,572.16/x
  3. Step 3: Cross multiply
    224,172x = 309,357.36 × 123,572.16
  4. Step 4: Simplify right side
    224,172x = 38,227,957,187.10
  5. Step 5: Solve for x
    x = 38,227,957,187.10/224,172
  6. Step 6: Final answer
    x = 170,529.58

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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.