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Finding the Fourth Proportional to 102,692.32, 154,042.80 and 50,148.16

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Solution

The fourth proportional to 102,692.32, 154,042.80 and 50,148.16 is: 75,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.32 : 154,042.80 = 50,148.16 : x
  2. Step 2: Convert to fraction form
    102,692.32/154,042.80 = 50,148.16/x
  3. Step 3: Cross multiply
    102,692.32x = 154,042.80 × 50,148.16
  4. Step 4: Simplify right side
    102,692.32x = 7,724,962,981.25
  5. Step 5: Solve for x
    x = 7,724,962,981.25/102,692.32
  6. Step 6: Final answer
    x = 75,224.35

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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.