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Finding the Fourth Proportional to 187,675.80, 258,980.94 and 102,787.80

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Solution

The fourth proportional to 187,675.80, 258,980.94 and 102,787.80 is: 141,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,675.80 : 258,980.94 = 102,787.80 : x
  2. Step 2: Convert to fraction form
    187,675.80/258,980.94 = 102,787.80/x
  3. Step 3: Cross multiply
    187,675.80x = 258,980.94 × 102,787.80
  4. Step 4: Simplify right side
    187,675.80x = 26,620,081,064.53
  5. Step 5: Solve for x
    x = 26,620,081,064.53/187,675.80
  6. Step 6: Final answer
    x = 141,840.78

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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.