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Finding the Fourth Proportional to 187,087, 258,197.82 and 102,216.84

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Solution

The fourth proportional to 187,087, 258,197.82 and 102,216.84 is: 141,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,087 : 258,197.82 = 102,216.84 : x
  2. Step 2: Convert to fraction form
    187,087/258,197.82 = 102,216.84/x
  3. Step 3: Cross multiply
    187,087x = 258,197.82 × 102,216.84
  4. Step 4: Simplify right side
    187,087x = 26,392,165,255.29
  5. Step 5: Solve for x
    x = 26,392,165,255.29/187,087
  6. Step 6: Final answer
    x = 141,068.94

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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.