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Finding the Fourth Proportional to 76,969, 115,472.94 and 21,565

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Solution

The fourth proportional to 76,969, 115,472.94 and 21,565 is: 32,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,969 : 115,472.94 = 21,565 : x
  2. Step 2: Convert to fraction form
    76,969/115,472.94 = 21,565/x
  3. Step 3: Cross multiply
    76,969x = 115,472.94 × 21,565
  4. Step 4: Simplify right side
    76,969x = 2,490,173,951.10
  5. Step 5: Solve for x
    x = 2,490,173,951.10/76,969
  6. Step 6: Final answer
    x = 32,352.95

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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.