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Finding the Fourth Proportional to 102,706.20, 154,205.10 and 63,340.20

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Solution

The fourth proportional to 102,706.20, 154,205.10 and 63,340.20 is: 95,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.20 : 154,205.10 = 63,340.20 : x
  2. Step 2: Convert to fraction form
    102,706.20/154,205.10 = 63,340.20/x
  3. Step 3: Cross multiply
    102,706.20x = 154,205.10 × 63,340.20
  4. Step 4: Simplify right side
    102,706.20x = 9,767,381,875.02
  5. Step 5: Solve for x
    x = 9,767,381,875.02/102,706.20
  6. Step 6: Final answer
    x = 95,100.22

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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.