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Finding the Fourth Proportional to 76,314.11, 105,314.70 and 42,324

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Solution

The fourth proportional to 76,314.11, 105,314.70 and 42,324 is: 58,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.11 : 105,314.70 = 42,324 : x
  2. Step 2: Convert to fraction form
    76,314.11/105,314.70 = 42,324/x
  3. Step 3: Cross multiply
    76,314.11x = 105,314.70 × 42,324
  4. Step 4: Simplify right side
    76,314.11x = 4,457,339,362.80
  5. Step 5: Solve for x
    x = 4,457,339,362.80/76,314.11
  6. Step 6: Final answer
    x = 58,407.80

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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.