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Finding the Fourth Proportional to 90,978.15, 136,467.23 and 31,807.65

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Solution

The fourth proportional to 90,978.15, 136,467.23 and 31,807.65 is: 47,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,978.15 : 136,467.23 = 31,807.65 : x
  2. Step 2: Convert to fraction form
    90,978.15/136,467.23 = 31,807.65/x
  3. Step 3: Cross multiply
    90,978.15x = 136,467.23 × 31,807.65
  4. Step 4: Simplify right side
    90,978.15x = 4,340,701,729.27
  5. Step 5: Solve for x
    x = 4,340,701,729.27/90,978.15
  6. Step 6: Final answer
    x = 47,711.48

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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.