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Finding the Fourth Proportional to 145,392.28, 218,092.74 and 40,219

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Solution

The fourth proportional to 145,392.28, 218,092.74 and 40,219 is: 60,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392.28 : 218,092.74 = 40,219 : x
  2. Step 2: Convert to fraction form
    145,392.28/218,092.74 = 40,219/x
  3. Step 3: Cross multiply
    145,392.28x = 218,092.74 × 40,219
  4. Step 4: Simplify right side
    145,392.28x = 8,771,471,910.06
  5. Step 5: Solve for x
    x = 8,771,471,910.06/145,392.28
  6. Step 6: Final answer
    x = 60,329.70

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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.