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Finding the Fourth Proportional to 77,496.58, 116,229.54 and 21,322.18

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Solution

The fourth proportional to 77,496.58, 116,229.54 and 21,322.18 is: 31,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496.58 : 116,229.54 = 21,322.18 : x
  2. Step 2: Convert to fraction form
    77,496.58/116,229.54 = 21,322.18/x
  3. Step 3: Cross multiply
    77,496.58x = 116,229.54 × 21,322.18
  4. Step 4: Simplify right side
    77,496.58x = 2,478,267,173.20
  5. Step 5: Solve for x
    x = 2,478,267,173.20/77,496.58
  6. Step 6: Final answer
    x = 31,979.05

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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.