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Finding the Fourth Proportional to 76,491, 105,528 and 56,395.56

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Solution

The fourth proportional to 76,491, 105,528 and 56,395.56 is: 77,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491 : 105,528 = 56,395.56 : x
  2. Step 2: Convert to fraction form
    76,491/105,528 = 56,395.56/x
  3. Step 3: Cross multiply
    76,491x = 105,528 × 56,395.56
  4. Step 4: Simplify right side
    76,491x = 5,951,310,655.68
  5. Step 5: Solve for x
    x = 5,951,310,655.68/76,491
  6. Step 6: Final answer
    x = 77,804.06

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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.