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Finding the Fourth Proportional to 76,340.98, 114,519.32 and 26,421

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Solution

The fourth proportional to 76,340.98, 114,519.32 and 26,421 is: 39,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340.98 : 114,519.32 = 26,421 : x
  2. Step 2: Convert to fraction form
    76,340.98/114,519.32 = 26,421/x
  3. Step 3: Cross multiply
    76,340.98x = 114,519.32 × 26,421
  4. Step 4: Simplify right side
    76,340.98x = 3,025,714,953.72
  5. Step 5: Solve for x
    x = 3,025,714,953.72/76,340.98
  6. Step 6: Final answer
    x = 39,634.22

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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.