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Finding the Fourth Proportional to 190,776.36, 286,164.54 and 72,447.71

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Solution

The fourth proportional to 190,776.36, 286,164.54 and 72,447.71 is: 108,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,776.36 : 286,164.54 = 72,447.71 : x
  2. Step 2: Convert to fraction form
    190,776.36/286,164.54 = 72,447.71/x
  3. Step 3: Cross multiply
    190,776.36x = 286,164.54 × 72,447.71
  4. Step 4: Simplify right side
    190,776.36x = 20,731,965,243.96
  5. Step 5: Solve for x
    x = 20,731,965,243.96/190,776.36
  6. Step 6: Final answer
    x = 108,671.56

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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.