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Finding the Fourth Proportional to 189,726.50, 261,826.32 and 103,690.80

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Solution

The fourth proportional to 189,726.50, 261,826.32 and 103,690.80 is: 143,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,726.50 : 261,826.32 = 103,690.80 : x
  2. Step 2: Convert to fraction form
    189,726.50/261,826.32 = 103,690.80/x
  3. Step 3: Cross multiply
    189,726.50x = 261,826.32 × 103,690.80
  4. Step 4: Simplify right side
    189,726.50x = 27,148,980,581.86
  5. Step 5: Solve for x
    x = 27,148,980,581.86/189,726.50
  6. Step 6: Final answer
    x = 143,095.35

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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.