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Finding the Fourth Proportional to 83,881.81, 125,783.83 and 31,277.17

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Solution

The fourth proportional to 83,881.81, 125,783.83 and 31,277.17 is: 46,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.81 : 125,783.83 = 31,277.17 : x
  2. Step 2: Convert to fraction form
    83,881.81/125,783.83 = 31,277.17/x
  3. Step 3: Cross multiply
    83,881.81x = 125,783.83 × 31,277.17
  4. Step 4: Simplify right side
    83,881.81x = 3,934,161,958.80
  5. Step 5: Solve for x
    x = 3,934,161,958.80/83,881.81
  6. Step 6: Final answer
    x = 46,901.25

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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.