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Finding the Fourth Proportional to 140,866.46, 211,299.68 and 85,345.82

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Solution

The fourth proportional to 140,866.46, 211,299.68 and 85,345.82 is: 128,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.46 : 211,299.68 = 85,345.82 : x
  2. Step 2: Convert to fraction form
    140,866.46/211,299.68 = 85,345.82/x
  3. Step 3: Cross multiply
    140,866.46x = 211,299.68 × 85,345.82
  4. Step 4: Simplify right side
    140,866.46x = 18,033,543,398.84
  5. Step 5: Solve for x
    x = 18,033,543,398.84/140,866.46
  6. Step 6: Final answer
    x = 128,018.72

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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.