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Finding the Fourth Proportional to 136,085.83, 187,787.81 and 75,652.80

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Solution

The fourth proportional to 136,085.83, 187,787.81 and 75,652.80 is: 104,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,085.83 : 187,787.81 = 75,652.80 : x
  2. Step 2: Convert to fraction form
    136,085.83/187,787.81 = 75,652.80/x
  3. Step 3: Cross multiply
    136,085.83x = 187,787.81 × 75,652.80
  4. Step 4: Simplify right side
    136,085.83x = 14,206,672,975.45
  5. Step 5: Solve for x
    x = 14,206,672,975.45/136,085.83
  6. Step 6: Final answer
    x = 104,394.94

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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.