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Finding the Fourth Proportional to 187,648.40, 258,890.52 and 107,017.97

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Solution

The fourth proportional to 187,648.40, 258,890.52 and 107,017.97 is: 147,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,648.40 : 258,890.52 = 107,017.97 : x
  2. Step 2: Convert to fraction form
    187,648.40/258,890.52 = 107,017.97/x
  3. Step 3: Cross multiply
    187,648.40x = 258,890.52 × 107,017.97
  4. Step 4: Simplify right side
    187,648.40x = 27,705,936,608.19
  5. Step 5: Solve for x
    x = 27,705,936,608.19/187,648.40
  6. Step 6: Final answer
    x = 147,648.14

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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.