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Finding the Fourth Proportional to 77,007, 115,517.04 and 21,603

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Solution

The fourth proportional to 77,007, 115,517.04 and 21,603 is: 32,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007 : 115,517.04 = 21,603 : x
  2. Step 2: Convert to fraction form
    77,007/115,517.04 = 21,603/x
  3. Step 3: Cross multiply
    77,007x = 115,517.04 × 21,603
  4. Step 4: Simplify right side
    77,007x = 2,495,514,615.12
  5. Step 5: Solve for x
    x = 2,495,514,615.12/77,007
  6. Step 6: Final answer
    x = 32,406.33

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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.