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Finding the Fourth Proportional to 138,981.76, 208,488.32 and 64,104.96

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Solution

The fourth proportional to 138,981.76, 208,488.32 and 64,104.96 is: 96,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,981.76 : 208,488.32 = 64,104.96 : x
  2. Step 2: Convert to fraction form
    138,981.76/208,488.32 = 64,104.96/x
  3. Step 3: Cross multiply
    138,981.76x = 208,488.32 × 64,104.96
  4. Step 4: Simplify right side
    138,981.76x = 13,365,135,414.07
  5. Step 5: Solve for x
    x = 13,365,135,414.07/138,981.76
  6. Step 6: Final answer
    x = 96,164.67

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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.