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Finding the Fourth Proportional to 105,491.88, 145,578.84 and 57,745.50

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Solution

The fourth proportional to 105,491.88, 145,578.84 and 57,745.50 is: 79,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,491.88 : 145,578.84 = 57,745.50 : x
  2. Step 2: Convert to fraction form
    105,491.88/145,578.84 = 57,745.50/x
  3. Step 3: Cross multiply
    105,491.88x = 145,578.84 × 57,745.50
  4. Step 4: Simplify right side
    105,491.88x = 8,406,522,905.22
  5. Step 5: Solve for x
    x = 8,406,522,905.22/105,491.88
  6. Step 6: Final answer
    x = 79,688.81

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1.5x scale

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.