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Finding the Fourth Proportional to 75,864, 104,692.32 and 42,330

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Solution

The fourth proportional to 75,864, 104,692.32 and 42,330 is: 58,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,864 : 104,692.32 = 42,330 : x
  2. Step 2: Convert to fraction form
    75,864/104,692.32 = 42,330/x
  3. Step 3: Cross multiply
    75,864x = 104,692.32 × 42,330
  4. Step 4: Simplify right side
    75,864x = 4,431,625,905.60
  5. Step 5: Solve for x
    x = 4,431,625,905.60/75,864
  6. Step 6: Final answer
    x = 58,415.40

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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.