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Finding the Fourth Proportional to 106,470.64, 159,816.72 and 78,422.36

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Solution

The fourth proportional to 106,470.64, 159,816.72 and 78,422.36 is: 117,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470.64 : 159,816.72 = 78,422.36 : x
  2. Step 2: Convert to fraction form
    106,470.64/159,816.72 = 78,422.36/x
  3. Step 3: Cross multiply
    106,470.64x = 159,816.72 × 78,422.36
  4. Step 4: Simplify right side
    106,470.64x = 12,533,204,349.86
  5. Step 5: Solve for x
    x = 12,533,204,349.86/106,470.64
  6. Step 6: Final answer
    x = 117,715.12

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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.