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Finding the Fourth Proportional to 131,400, 181,332.81 and 71,784

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Solution

The fourth proportional to 131,400, 181,332.81 and 71,784 is: 99,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,400 : 181,332.81 = 71,784 : x
  2. Step 2: Convert to fraction form
    131,400/181,332.81 = 71,784/x
  3. Step 3: Cross multiply
    131,400x = 181,332.81 × 71,784
  4. Step 4: Simplify right side
    131,400x = 13,016,794,433.04
  5. Step 5: Solve for x
    x = 13,016,794,433.04/131,400
  6. Step 6: Final answer
    x = 99,062.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.