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Finding the Fourth Proportional to 139,476.60, 192,475.44 and 75,816

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Solution

The fourth proportional to 139,476.60, 192,475.44 and 75,816 is: 104,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,476.60 : 192,475.44 = 75,816 : x
  2. Step 2: Convert to fraction form
    139,476.60/192,475.44 = 75,816/x
  3. Step 3: Cross multiply
    139,476.60x = 192,475.44 × 75,816
  4. Step 4: Simplify right side
    139,476.60x = 14,592,717,959.04
  5. Step 5: Solve for x
    x = 14,592,717,959.04/139,476.60
  6. Step 6: Final answer
    x = 104,624.85

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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.