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Finding the Fourth Proportional to 189,912.68, 284,386.93 and 113,963.47

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Solution

The fourth proportional to 189,912.68, 284,386.93 and 113,963.47 is: 170,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912.68 : 284,386.93 = 113,963.47 : x
  2. Step 2: Convert to fraction form
    189,912.68/284,386.93 = 113,963.47/x
  3. Step 3: Cross multiply
    189,912.68x = 284,386.93 × 113,963.47
  4. Step 4: Simplify right side
    189,912.68x = 32,409,720,369.57
  5. Step 5: Solve for x
    x = 32,409,720,369.57/189,912.68
  6. Step 6: Final answer
    x = 170,655.91

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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.