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Finding the Fourth Proportional to 92,143.90, 138,222.15 and 31,329.41

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Solution

The fourth proportional to 92,143.90, 138,222.15 and 31,329.41 is: 46,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,143.90 : 138,222.15 = 31,329.41 : x
  2. Step 2: Convert to fraction form
    92,143.90/138,222.15 = 31,329.41/x
  3. Step 3: Cross multiply
    92,143.90x = 138,222.15 × 31,329.41
  4. Step 4: Simplify right side
    92,143.90x = 4,330,417,988.59
  5. Step 5: Solve for x
    x = 4,330,417,988.59/92,143.90
  6. Step 6: Final answer
    x = 46,996.25

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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.