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Finding the Fourth Proportional to 120,376.59, 180,457.52 and 57,157.71

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Solution

The fourth proportional to 120,376.59, 180,457.52 and 57,157.71 is: 85,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,376.59 : 180,457.52 = 57,157.71 : x
  2. Step 2: Convert to fraction form
    120,376.59/180,457.52 = 57,157.71/x
  3. Step 3: Cross multiply
    120,376.59x = 180,457.52 × 57,157.71
  4. Step 4: Simplify right side
    120,376.59x = 10,314,538,309.69
  5. Step 5: Solve for x
    x = 10,314,538,309.69/120,376.59
  6. Step 6: Final answer
    x = 85,685.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.