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Finding the Fourth Proportional to 134,825, 186,058.50 and 75,209

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Solution

The fourth proportional to 134,825, 186,058.50 and 75,209 is: 103,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,825 : 186,058.50 = 75,209 : x
  2. Step 2: Convert to fraction form
    134,825/186,058.50 = 75,209/x
  3. Step 3: Cross multiply
    134,825x = 186,058.50 × 75,209
  4. Step 4: Simplify right side
    134,825x = 13,993,273,726.50
  5. Step 5: Solve for x
    x = 13,993,273,726.50/134,825
  6. Step 6: Final answer
    x = 103,788.42

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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.