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Finding the Fourth Proportional to 77,856.16, 116,784.31 and 21,696.43

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Solution

The fourth proportional to 77,856.16, 116,784.31 and 21,696.43 is: 32,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.16 : 116,784.31 = 21,696.43 : x
  2. Step 2: Convert to fraction form
    77,856.16/116,784.31 = 21,696.43/x
  3. Step 3: Cross multiply
    77,856.16x = 116,784.31 × 21,696.43
  4. Step 4: Simplify right side
    77,856.16x = 2,533,802,607.01
  5. Step 5: Solve for x
    x = 2,533,802,607.01/77,856.16
  6. Step 6: Final answer
    x = 32,544.66

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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.