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Finding the Fourth Proportional to 145,418.82, 218,133.10 and 40,228.98

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Solution

The fourth proportional to 145,418.82, 218,133.10 and 40,228.98 is: 60,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,418.82 : 218,133.10 = 40,228.98 : x
  2. Step 2: Convert to fraction form
    145,418.82/218,133.10 = 40,228.98/x
  3. Step 3: Cross multiply
    145,418.82x = 218,133.10 × 40,228.98
  4. Step 4: Simplify right side
    145,418.82x = 8,775,271,916.09
  5. Step 5: Solve for x
    x = 8,775,271,916.09/145,418.82
  6. Step 6: Final answer
    x = 60,344.82

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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.