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Finding the Fourth Proportional to 189,043.16, 260,867.34 and 112,567.86

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Solution

The fourth proportional to 189,043.16, 260,867.34 and 112,567.86 is: 155,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043.16 : 260,867.34 = 112,567.86 : x
  2. Step 2: Convert to fraction form
    189,043.16/260,867.34 = 112,567.86/x
  3. Step 3: Cross multiply
    189,043.16x = 260,867.34 × 112,567.86
  4. Step 4: Simplify right side
    189,043.16x = 29,365,278,207.69
  5. Step 5: Solve for x
    x = 29,365,278,207.69/189,043.16
  6. Step 6: Final answer
    x = 155,336.37

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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.