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Finding the Fourth Proportional to 76,363.46, 114,517.74 and 26,430

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Solution

The fourth proportional to 76,363.46, 114,517.74 and 26,430 is: 39,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363.46 : 114,517.74 = 26,430 : x
  2. Step 2: Convert to fraction form
    76,363.46/114,517.74 = 26,430/x
  3. Step 3: Cross multiply
    76,363.46x = 114,517.74 × 26,430
  4. Step 4: Simplify right side
    76,363.46x = 3,026,703,868.20
  5. Step 5: Solve for x
    x = 3,026,703,868.20/76,363.46
  6. Step 6: Final answer
    x = 39,635.50

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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.