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Finding the Fourth Proportional to 77,468.36, 116,203.04 and 21,314.40

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Solution

The fourth proportional to 77,468.36, 116,203.04 and 21,314.40 is: 31,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,468.36 : 116,203.04 = 21,314.40 : x
  2. Step 2: Convert to fraction form
    77,468.36/116,203.04 = 21,314.40/x
  3. Step 3: Cross multiply
    77,468.36x = 116,203.04 × 21,314.40
  4. Step 4: Simplify right side
    77,468.36x = 2,476,797,494.76
  5. Step 5: Solve for x
    x = 2,476,797,494.76/77,468.36
  6. Step 6: Final answer
    x = 31,971.73

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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.