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Finding the Fourth Proportional to 137,967.13, 190,399.13 and 77,549.41

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Solution

The fourth proportional to 137,967.13, 190,399.13 and 77,549.41 is: 107,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.13 : 190,399.13 = 77,549.41 : x
  2. Step 2: Convert to fraction form
    137,967.13/190,399.13 = 77,549.41/x
  3. Step 3: Cross multiply
    137,967.13x = 190,399.13 × 77,549.41
  4. Step 4: Simplify right side
    137,967.13x = 14,765,340,196.01
  5. Step 5: Solve for x
    x = 14,765,340,196.01/137,967.13
  6. Step 6: Final answer
    x = 107,020.71

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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.