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Finding the Fourth Proportional to 242,427.78, 363,698.91 and 76,215.78

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Solution

The fourth proportional to 242,427.78, 363,698.91 and 76,215.78 is: 114,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,427.78 : 363,698.91 = 76,215.78 : x
  2. Step 2: Convert to fraction form
    242,427.78/363,698.91 = 76,215.78/x
  3. Step 3: Cross multiply
    242,427.78x = 363,698.91 × 76,215.78
  4. Step 4: Simplify right side
    242,427.78x = 27,719,596,110.80
  5. Step 5: Solve for x
    x = 27,719,596,110.80/242,427.78
  6. Step 6: Final answer
    x = 114,341.67

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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.