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Finding the Fourth Proportional to 187,580.82, 258,862.32 and 102,705.78

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Solution

The fourth proportional to 187,580.82, 258,862.32 and 102,705.78 is: 141,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,580.82 : 258,862.32 = 102,705.78 : x
  2. Step 2: Convert to fraction form
    187,580.82/258,862.32 = 102,705.78/x
  3. Step 3: Cross multiply
    187,580.82x = 258,862.32 × 102,705.78
  4. Step 4: Simplify right side
    187,580.82x = 26,586,656,488.21
  5. Step 5: Solve for x
    x = 26,586,656,488.21/187,580.82
  6. Step 6: Final answer
    x = 141,734.41

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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.