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Finding the Fourth Proportional to 189,026.18, 260,855.31 and 102,984.90

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Solution

The fourth proportional to 189,026.18, 260,855.31 and 102,984.90 is: 142,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,026.18 : 260,855.31 = 102,984.90 : x
  2. Step 2: Convert to fraction form
    189,026.18/260,855.31 = 102,984.90/x
  3. Step 3: Cross multiply
    189,026.18x = 260,855.31 × 102,984.90
  4. Step 4: Simplify right side
    189,026.18x = 26,864,157,422.81
  5. Step 5: Solve for x
    x = 26,864,157,422.81/189,026.18
  6. Step 6: Final answer
    x = 142,118.71

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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.