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Finding the Fourth Proportional to 115,978.46, 173,672.30 and 76,415.66

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Solution

The fourth proportional to 115,978.46, 173,672.30 and 76,415.66 is: 114,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,978.46 : 173,672.30 = 76,415.66 : x
  2. Step 2: Convert to fraction form
    115,978.46/173,672.30 = 76,415.66/x
  3. Step 3: Cross multiply
    115,978.46x = 173,672.30 × 76,415.66
  4. Step 4: Simplify right side
    115,978.46x = 13,271,282,559.86
  5. Step 5: Solve for x
    x = 13,271,282,559.86/115,978.46
  6. Step 6: Final answer
    x = 114,428.86

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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.