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Finding the Fourth Proportional to 189,915.86, 262,073.28 and 103,857.86

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Solution

The fourth proportional to 189,915.86, 262,073.28 and 103,857.86 is: 143,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,915.86 : 262,073.28 = 103,857.86 : x
  2. Step 2: Convert to fraction form
    189,915.86/262,073.28 = 103,857.86/x
  3. Step 3: Cross multiply
    189,915.86x = 262,073.28 × 103,857.86
  4. Step 4: Simplify right side
    189,915.86x = 27,218,370,023.98
  5. Step 5: Solve for x
    x = 27,218,370,023.98/189,915.86
  6. Step 6: Final answer
    x = 143,318.05

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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.