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Finding the Fourth Proportional to 77,387.52, 116,074.08 and 21,225.60

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Solution

The fourth proportional to 77,387.52, 116,074.08 and 21,225.60 is: 31,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,387.52 : 116,074.08 = 21,225.60 : x
  2. Step 2: Convert to fraction form
    77,387.52/116,074.08 = 21,225.60/x
  3. Step 3: Cross multiply
    77,387.52x = 116,074.08 × 21,225.60
  4. Step 4: Simplify right side
    77,387.52x = 2,463,741,992.45
  5. Step 5: Solve for x
    x = 2,463,741,992.45/77,387.52
  6. Step 6: Final answer
    x = 31,836.43

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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.