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Finding the Fourth Proportional to 125,978.20, 189,040.20 and 47,100.40

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Solution

The fourth proportional to 125,978.20, 189,040.20 and 47,100.40 is: 70,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,978.20 : 189,040.20 = 47,100.40 : x
  2. Step 2: Convert to fraction form
    125,978.20/189,040.20 = 47,100.40/x
  3. Step 3: Cross multiply
    125,978.20x = 189,040.20 × 47,100.40
  4. Step 4: Simplify right side
    125,978.20x = 8,903,869,036.08
  5. Step 5: Solve for x
    x = 8,903,869,036.08/125,978.20
  6. Step 6: Final answer
    x = 70,677.86

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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.