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Finding the Fourth Proportional to 145,408.40, 218,125.02 and 40,227.20

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Solution

The fourth proportional to 145,408.40, 218,125.02 and 40,227.20 is: 60,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.40 : 218,125.02 = 40,227.20 : x
  2. Step 2: Convert to fraction form
    145,408.40/218,125.02 = 40,227.20/x
  3. Step 3: Cross multiply
    145,408.40x = 218,125.02 × 40,227.20
  4. Step 4: Simplify right side
    145,408.40x = 8,774,558,804.54
  5. Step 5: Solve for x
    x = 8,774,558,804.54/145,408.40
  6. Step 6: Final answer
    x = 60,344.24

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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.