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Finding the Fourth Proportional to 92,911.83, 138,665.62 and 83,943.78

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Solution

The fourth proportional to 92,911.83, 138,665.62 and 83,943.78 is: 125,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,911.83 : 138,665.62 = 83,943.78 : x
  2. Step 2: Convert to fraction form
    92,911.83/138,665.62 = 83,943.78/x
  3. Step 3: Cross multiply
    92,911.83x = 138,665.62 × 83,943.78
  4. Step 4: Simplify right side
    92,911.83x = 11,640,116,298.84
  5. Step 5: Solve for x
    x = 11,640,116,298.84/92,911.83
  6. Step 6: Final answer
    x = 125,281.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.