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Finding the Fourth Proportional to 89,078, 122,924.04 and 53,287.80

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Solution

The fourth proportional to 89,078, 122,924.04 and 53,287.80 is: 73,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,078 : 122,924.04 = 53,287.80 : x
  2. Step 2: Convert to fraction form
    89,078/122,924.04 = 53,287.80/x
  3. Step 3: Cross multiply
    89,078x = 122,924.04 × 53,287.80
  4. Step 4: Simplify right side
    89,078x = 6,550,351,658.71
  5. Step 5: Solve for x
    x = 6,550,351,658.71/89,078
  6. Step 6: Final answer
    x = 73,535.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.