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Finding the Fourth Proportional to 102,005.80, 152,706.30 and 75,826.60

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Solution

The fourth proportional to 102,005.80, 152,706.30 and 75,826.60 is: 113,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.80 : 152,706.30 = 75,826.60 : x
  2. Step 2: Convert to fraction form
    102,005.80/152,706.30 = 75,826.60/x
  3. Step 3: Cross multiply
    102,005.80x = 152,706.30 × 75,826.60
  4. Step 4: Simplify right side
    102,005.80x = 11,579,199,527.58
  5. Step 5: Solve for x
    x = 11,579,199,527.58/102,005.80
  6. Step 6: Final answer
    x = 113,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.