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Finding the Fourth Proportional to 187,271.55, 280,978.26 and 112,443.96

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Solution

The fourth proportional to 187,271.55, 280,978.26 and 112,443.96 is: 168,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,271.55 : 280,978.26 = 112,443.96 : x
  2. Step 2: Convert to fraction form
    187,271.55/280,978.26 = 112,443.96/x
  3. Step 3: Cross multiply
    187,271.55x = 280,978.26 × 112,443.96
  4. Step 4: Simplify right side
    187,271.55x = 31,594,308,228.31
  5. Step 5: Solve for x
    x = 31,594,308,228.31/187,271.55
  6. Step 6: Final answer
    x = 168,708.53

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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.