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Finding the Fourth Proportional to 126,578.64, 189,866.12 and 37,830.16

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Solution

The fourth proportional to 126,578.64, 189,866.12 and 37,830.16 is: 56,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,578.64 : 189,866.12 = 37,830.16 : x
  2. Step 2: Convert to fraction form
    126,578.64/189,866.12 = 37,830.16/x
  3. Step 3: Cross multiply
    126,578.64x = 189,866.12 × 37,830.16
  4. Step 4: Simplify right side
    126,578.64x = 7,182,665,698.18
  5. Step 5: Solve for x
    x = 7,182,665,698.18/126,578.64
  6. Step 6: Final answer
    x = 56,744.69

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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.