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Finding the Fourth Proportional to 135,232.60, 186,632.64 and 78,640

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Solution

The fourth proportional to 135,232.60, 186,632.64 and 78,640 is: 108,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,232.60 : 186,632.64 = 78,640 : x
  2. Step 2: Convert to fraction form
    135,232.60/186,632.64 = 78,640/x
  3. Step 3: Cross multiply
    135,232.60x = 186,632.64 × 78,640
  4. Step 4: Simplify right side
    135,232.60x = 14,676,790,809.60
  5. Step 5: Solve for x
    x = 14,676,790,809.60/135,232.60
  6. Step 6: Final answer
    x = 108,529.98

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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.