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Finding the Fourth Proportional to 187,653.36, 258,963.84 and 102,774

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Solution

The fourth proportional to 187,653.36, 258,963.84 and 102,774 is: 141,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,653.36 : 258,963.84 = 102,774 : x
  2. Step 2: Convert to fraction form
    187,653.36/258,963.84 = 102,774/x
  3. Step 3: Cross multiply
    187,653.36x = 258,963.84 × 102,774
  4. Step 4: Simplify right side
    187,653.36x = 26,614,749,692.16
  5. Step 5: Solve for x
    x = 26,614,749,692.16/187,653.36
  6. Step 6: Final answer
    x = 141,829.33

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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.