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Finding the Fourth Proportional to 131,470.64, 181,356 and 86,156

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Solution

The fourth proportional to 131,470.64, 181,356 and 86,156 is: 118,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470.64 : 181,356 = 86,156 : x
  2. Step 2: Convert to fraction form
    131,470.64/181,356 = 86,156/x
  3. Step 3: Cross multiply
    131,470.64x = 181,356 × 86,156
  4. Step 4: Simplify right side
    131,470.64x = 15,624,907,536
  5. Step 5: Solve for x
    x = 15,624,907,536/131,470.64
  6. Step 6: Final answer
    x = 118,847.12

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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.