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Finding the Fourth Proportional to 77,087.76, 115,413 and 50,464.80

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Solution

The fourth proportional to 77,087.76, 115,413 and 50,464.80 is: 75,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087.76 : 115,413 = 50,464.80 : x
  2. Step 2: Convert to fraction form
    77,087.76/115,413 = 50,464.80/x
  3. Step 3: Cross multiply
    77,087.76x = 115,413 × 50,464.80
  4. Step 4: Simplify right side
    77,087.76x = 5,824,293,962.40
  5. Step 5: Solve for x
    x = 5,824,293,962.40/77,087.76
  6. Step 6: Final answer
    x = 75,554.07

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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.