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Finding the Fourth Proportional to 107,903.34, 161,859.87 and 78,179.58

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Solution

The fourth proportional to 107,903.34, 161,859.87 and 78,179.58 is: 117,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,903.34 : 161,859.87 = 78,179.58 : x
  2. Step 2: Convert to fraction form
    107,903.34/161,859.87 = 78,179.58/x
  3. Step 3: Cross multiply
    107,903.34x = 161,859.87 × 78,179.58
  4. Step 4: Simplify right side
    107,903.34x = 12,654,136,655.45
  5. Step 5: Solve for x
    x = 12,654,136,655.45/107,903.34
  6. Step 6: Final answer
    x = 117,272.89

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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.