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Finding the Fourth Proportional to 92,223.63, 138,308.09 and 39,620.84

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Solution

The fourth proportional to 92,223.63, 138,308.09 and 39,620.84 is: 59,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223.63 : 138,308.09 = 39,620.84 : x
  2. Step 2: Convert to fraction form
    92,223.63/138,308.09 = 39,620.84/x
  3. Step 3: Cross multiply
    92,223.63x = 138,308.09 × 39,620.84
  4. Step 4: Simplify right side
    92,223.63x = 5,479,881,814.95
  5. Step 5: Solve for x
    x = 5,479,881,814.95/92,223.63
  6. Step 6: Final answer
    x = 59,419.50

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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.