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Finding the Fourth Proportional to 101,467.32, 140,019.95 and 56,144.48

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Solution

The fourth proportional to 101,467.32, 140,019.95 and 56,144.48 is: 77,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,467.32 : 140,019.95 = 56,144.48 : x
  2. Step 2: Convert to fraction form
    101,467.32/140,019.95 = 56,144.48/x
  3. Step 3: Cross multiply
    101,467.32x = 140,019.95 × 56,144.48
  4. Step 4: Simplify right side
    101,467.32x = 7,861,347,282.38
  5. Step 5: Solve for x
    x = 7,861,347,282.38/101,467.32
  6. Step 6: Final answer
    x = 77,476.64

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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.