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Finding the Fourth Proportional to 126,082.60, 189,111.10 and 42,975.40

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Solution

The fourth proportional to 126,082.60, 189,111.10 and 42,975.40 is: 64,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,082.60 : 189,111.10 = 42,975.40 : x
  2. Step 2: Convert to fraction form
    126,082.60/189,111.10 = 42,975.40/x
  3. Step 3: Cross multiply
    126,082.60x = 189,111.10 × 42,975.40
  4. Step 4: Simplify right side
    126,082.60x = 8,127,125,166.94
  5. Step 5: Solve for x
    x = 8,127,125,166.94/126,082.60
  6. Step 6: Final answer
    x = 64,458.74

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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.