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Finding the Fourth Proportional to 90,762.65, 125,234.47 and 54,956

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Solution

The fourth proportional to 90,762.65, 125,234.47 and 54,956 is: 75,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,762.65 : 125,234.47 = 54,956 : x
  2. Step 2: Convert to fraction form
    90,762.65/125,234.47 = 54,956/x
  3. Step 3: Cross multiply
    90,762.65x = 125,234.47 × 54,956
  4. Step 4: Simplify right side
    90,762.65x = 6,882,385,533.32
  5. Step 5: Solve for x
    x = 6,882,385,533.32/90,762.65
  6. Step 6: Final answer
    x = 75,828.39

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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.