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Finding the Fourth Proportional to 187,891.98, 259,290.87 and 103,007.22

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Solution

The fourth proportional to 187,891.98, 259,290.87 and 103,007.22 is: 142,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,891.98 : 259,290.87 = 103,007.22 : x
  2. Step 2: Convert to fraction form
    187,891.98/259,290.87 = 103,007.22/x
  3. Step 3: Cross multiply
    187,891.98x = 259,290.87 × 103,007.22
  4. Step 4: Simplify right side
    187,891.98x = 26,708,831,690.08
  5. Step 5: Solve for x
    x = 26,708,831,690.08/187,891.98
  6. Step 6: Final answer
    x = 142,149.93

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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.