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Finding the Fourth Proportional to 76,405.65, 105,438.87 and 42,414.41

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Solution

The fourth proportional to 76,405.65, 105,438.87 and 42,414.41 is: 58,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.65 : 105,438.87 = 42,414.41 : x
  2. Step 2: Convert to fraction form
    76,405.65/105,438.87 = 42,414.41/x
  3. Step 3: Cross multiply
    76,405.65x = 105,438.87 × 42,414.41
  4. Step 4: Simplify right side
    76,405.65x = 4,472,127,462.12
  5. Step 5: Solve for x
    x = 4,472,127,462.12/76,405.65
  6. Step 6: Final answer
    x = 58,531.37

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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.