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Finding the Fourth Proportional to 155,142.66, 214,098.21 and 87,160.98

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Solution

The fourth proportional to 155,142.66, 214,098.21 and 87,160.98 is: 120,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142.66 : 214,098.21 = 87,160.98 : x
  2. Step 2: Convert to fraction form
    155,142.66/214,098.21 = 87,160.98/x
  3. Step 3: Cross multiply
    155,142.66x = 214,098.21 × 87,160.98
  4. Step 4: Simplify right side
    155,142.66x = 18,661,009,799.85
  5. Step 5: Solve for x
    x = 18,661,009,799.85/155,142.66
  6. Step 6: Final answer
    x = 120,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.