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Finding the Fourth Proportional to 75,638.60, 113,457.90 and 49,200.20

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Solution

The fourth proportional to 75,638.60, 113,457.90 and 49,200.20 is: 73,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.60 : 113,457.90 = 49,200.20 : x
  2. Step 2: Convert to fraction form
    75,638.60/113,457.90 = 49,200.20/x
  3. Step 3: Cross multiply
    75,638.60x = 113,457.90 × 49,200.20
  4. Step 4: Simplify right side
    75,638.60x = 5,582,151,371.58
  5. Step 5: Solve for x
    x = 5,582,151,371.58/75,638.60
  6. Step 6: Final answer
    x = 73,800.30

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1.5x scale

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.