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Finding the Fourth Proportional to 126,054.60, 189,069.10 and 42,947.40

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Solution

The fourth proportional to 126,054.60, 189,069.10 and 42,947.40 is: 64,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,054.60 : 189,069.10 = 42,947.40 : x
  2. Step 2: Convert to fraction form
    126,054.60/189,069.10 = 42,947.40/x
  3. Step 3: Cross multiply
    126,054.60x = 189,069.10 × 42,947.40
  4. Step 4: Simplify right side
    126,054.60x = 8,120,026,265.34
  5. Step 5: Solve for x
    x = 8,120,026,265.34/126,054.60
  6. Step 6: Final answer
    x = 64,416.74

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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.