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Finding the Fourth Proportional to 77,262.32, 115,884.84 and 21,854

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Solution

The fourth proportional to 77,262.32, 115,884.84 and 21,854 is: 32,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262.32 : 115,884.84 = 21,854 : x
  2. Step 2: Convert to fraction form
    77,262.32/115,884.84 = 21,854/x
  3. Step 3: Cross multiply
    77,262.32x = 115,884.84 × 21,854
  4. Step 4: Simplify right side
    77,262.32x = 2,532,547,293.36
  5. Step 5: Solve for x
    x = 2,532,547,293.36/77,262.32
  6. Step 6: Final answer
    x = 32,778.56

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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.