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Finding the Fourth Proportional to 76,396.80, 105,390 and 66,311.76

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Solution

The fourth proportional to 76,396.80, 105,390 and 66,311.76 is: 91,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.80 : 105,390 = 66,311.76 : x
  2. Step 2: Convert to fraction form
    76,396.80/105,390 = 66,311.76/x
  3. Step 3: Cross multiply
    76,396.80x = 105,390 × 66,311.76
  4. Step 4: Simplify right side
    76,396.80x = 6,988,596,386.40
  5. Step 5: Solve for x
    x = 6,988,596,386.40/76,396.80
  6. Step 6: Final answer
    x = 91,477.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.