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Finding the Fourth Proportional to 137,695.57, 190,019.36 and 77,266.07

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Solution

The fourth proportional to 137,695.57, 190,019.36 and 77,266.07 is: 106,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,695.57 : 190,019.36 = 77,266.07 : x
  2. Step 2: Convert to fraction form
    137,695.57/190,019.36 = 77,266.07/x
  3. Step 3: Cross multiply
    137,695.57x = 190,019.36 × 77,266.07
  4. Step 4: Simplify right side
    137,695.57x = 14,682,049,171.12
  5. Step 5: Solve for x
    x = 14,682,049,171.12/137,695.57
  6. Step 6: Final answer
    x = 106,626.88

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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.