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Finding the Fourth Proportional to 76,991, 115,490.88 and 21,591.32

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Solution

The fourth proportional to 76,991, 115,490.88 and 21,591.32 is: 32,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,991 : 115,490.88 = 21,591.32 : x
  2. Step 2: Convert to fraction form
    76,991/115,490.88 = 21,591.32/x
  3. Step 3: Cross multiply
    76,991x = 115,490.88 × 21,591.32
  4. Step 4: Simplify right side
    76,991x = 2,493,600,547.16
  5. Step 5: Solve for x
    x = 2,493,600,547.16/76,991
  6. Step 6: Final answer
    x = 32,388.21

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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.