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Finding the Fourth Proportional to 102,692.70, 154,039.05 and 90,639.90

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Solution

The fourth proportional to 102,692.70, 154,039.05 and 90,639.90 is: 135,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.70 : 154,039.05 = 90,639.90 : x
  2. Step 2: Convert to fraction form
    102,692.70/154,039.05 = 90,639.90/x
  3. Step 3: Cross multiply
    102,692.70x = 154,039.05 × 90,639.90
  4. Step 4: Simplify right side
    102,692.70x = 13,962,084,088.10
  5. Step 5: Solve for x
    x = 13,962,084,088.10/102,692.70
  6. Step 6: Final answer
    x = 135,959.85

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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.