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Finding the Fourth Proportional to 145,857.68, 218,823.44 and 40,676.66

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Solution

The fourth proportional to 145,857.68, 218,823.44 and 40,676.66 is: 61,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.68 : 218,823.44 = 40,676.66 : x
  2. Step 2: Convert to fraction form
    145,857.68/218,823.44 = 40,676.66/x
  3. Step 3: Cross multiply
    145,857.68x = 218,823.44 × 40,676.66
  4. Step 4: Simplify right side
    145,857.68x = 8,901,006,668.91
  5. Step 5: Solve for x
    x = 8,901,006,668.91/145,857.68
  6. Step 6: Final answer
    x = 61,025.29

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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.