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Finding the Fourth Proportional to 107,978.45, 161,733.96 and 78,330.96

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Solution

The fourth proportional to 107,978.45, 161,733.96 and 78,330.96 is: 117,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,978.45 : 161,733.96 = 78,330.96 : x
  2. Step 2: Convert to fraction form
    107,978.45/161,733.96 = 78,330.96/x
  3. Step 3: Cross multiply
    107,978.45x = 161,733.96 × 78,330.96
  4. Step 4: Simplify right side
    107,978.45x = 12,668,776,351.40
  5. Step 5: Solve for x
    x = 12,668,776,351.40/107,978.45
  6. Step 6: Final answer
    x = 117,326.90

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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.