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Finding the Fourth Proportional to 77,584, 116,382.75 and 21,424.18

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Solution

The fourth proportional to 77,584, 116,382.75 and 21,424.18 is: 32,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584 : 116,382.75 = 21,424.18 : x
  2. Step 2: Convert to fraction form
    77,584/116,382.75 = 21,424.18/x
  3. Step 3: Cross multiply
    77,584x = 116,382.75 × 21,424.18
  4. Step 4: Simplify right side
    77,584x = 2,493,404,984.90
  5. Step 5: Solve for x
    x = 2,493,404,984.90/77,584
  6. Step 6: Final answer
    x = 32,138.13

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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.