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Finding the Fourth Proportional to 187,718.58, 259,058.10 and 102,835.68

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Solution

The fourth proportional to 187,718.58, 259,058.10 and 102,835.68 is: 141,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,718.58 : 259,058.10 = 102,835.68 : x
  2. Step 2: Convert to fraction form
    187,718.58/259,058.10 = 102,835.68/x
  3. Step 3: Cross multiply
    187,718.58x = 259,058.10 × 102,835.68
  4. Step 4: Simplify right side
    187,718.58x = 26,640,415,873.01
  5. Step 5: Solve for x
    x = 26,640,415,873.01/187,718.58
  6. Step 6: Final answer
    x = 141,916.78

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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.