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Finding the Fourth Proportional to 77,367.52, 116,051.45 and 21,208.43

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Solution

The fourth proportional to 77,367.52, 116,051.45 and 21,208.43 is: 31,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,367.52 : 116,051.45 = 21,208.43 : x
  2. Step 2: Convert to fraction form
    77,367.52/116,051.45 = 21,208.43/x
  3. Step 3: Cross multiply
    77,367.52x = 116,051.45 × 21,208.43
  4. Step 4: Simplify right side
    77,367.52x = 2,461,269,267.63
  5. Step 5: Solve for x
    x = 2,461,269,267.63/77,367.52
  6. Step 6: Final answer
    x = 31,812.70

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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.