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Finding the Fourth Proportional to 77,572.67, 116,356.69 and 21,416.21

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Solution

The fourth proportional to 77,572.67, 116,356.69 and 21,416.21 is: 32,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.67 : 116,356.69 = 21,416.21 : x
  2. Step 2: Convert to fraction form
    77,572.67/116,356.69 = 21,416.21/x
  3. Step 3: Cross multiply
    77,572.67x = 116,356.69 × 21,416.21
  4. Step 4: Simplify right side
    77,572.67x = 2,491,918,619.08
  5. Step 5: Solve for x
    x = 2,491,918,619.08/77,572.67
  6. Step 6: Final answer
    x = 32,123.67

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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.