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Finding the Fourth Proportional to 77,897.69, 116,834.68 and 21,731.88

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Solution

The fourth proportional to 77,897.69, 116,834.68 and 21,731.88 is: 32,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897.69 : 116,834.68 = 21,731.88 : x
  2. Step 2: Convert to fraction form
    77,897.69/116,834.68 = 21,731.88/x
  3. Step 3: Cross multiply
    77,897.69x = 116,834.68 × 21,731.88
  4. Step 4: Simplify right side
    77,897.69x = 2,539,037,245.60
  5. Step 5: Solve for x
    x = 2,539,037,245.60/77,897.69
  6. Step 6: Final answer
    x = 32,594.51

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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.