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Finding the Fourth Proportional to 134,804, 186,029.52 and 75,188

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Solution

The fourth proportional to 134,804, 186,029.52 and 75,188 is: 103,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,804 : 186,029.52 = 75,188 : x
  2. Step 2: Convert to fraction form
    134,804/186,029.52 = 75,188/x
  3. Step 3: Cross multiply
    134,804x = 186,029.52 × 75,188
  4. Step 4: Simplify right side
    134,804x = 13,987,187,549.76
  5. Step 5: Solve for x
    x = 13,987,187,549.76/134,804
  6. Step 6: Final answer
    x = 103,759.44

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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.