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Finding the Fourth Proportional to 77,488.34, 116,217.72 and 21,314.30

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Solution

The fourth proportional to 77,488.34, 116,217.72 and 21,314.30 is: 31,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,488.34 : 116,217.72 = 21,314.30 : x
  2. Step 2: Convert to fraction form
    77,488.34/116,217.72 = 21,314.30/x
  3. Step 3: Cross multiply
    77,488.34x = 116,217.72 × 21,314.30
  4. Step 4: Simplify right side
    77,488.34x = 2,477,098,768.31
  5. Step 5: Solve for x
    x = 2,477,098,768.31/77,488.34
  6. Step 6: Final answer
    x = 31,967.38

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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.