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Finding the Fourth Proportional to 190,770.87, 286,139.70 and 72,443.10

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Solution

The fourth proportional to 190,770.87, 286,139.70 and 72,443.10 is: 108,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,770.87 : 286,139.70 = 72,443.10 : x
  2. Step 2: Convert to fraction form
    190,770.87/286,139.70 = 72,443.10/x
  3. Step 3: Cross multiply
    190,770.87x = 286,139.70 × 72,443.10
  4. Step 4: Simplify right side
    190,770.87x = 20,728,846,901.07
  5. Step 5: Solve for x
    x = 20,728,846,901.07/190,770.87
  6. Step 6: Final answer
    x = 108,658.34

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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.