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Finding the Fourth Proportional to 125,978.94, 189,000.90 and 47,093.76

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Solution

The fourth proportional to 125,978.94, 189,000.90 and 47,093.76 is: 70,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,978.94 : 189,000.90 = 47,093.76 : x
  2. Step 2: Convert to fraction form
    125,978.94/189,000.90 = 47,093.76/x
  3. Step 3: Cross multiply
    125,978.94x = 189,000.90 × 47,093.76
  4. Step 4: Simplify right side
    125,978.94x = 8,900,763,024.38
  5. Step 5: Solve for x
    x = 8,900,763,024.38/125,978.94
  6. Step 6: Final answer
    x = 70,652.79

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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.