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Finding the Fourth Proportional to 57,099.47, 85,649.22 and 17,655.71

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Solution

The fourth proportional to 57,099.47, 85,649.22 and 17,655.71 is: 26,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.47 : 85,649.22 = 17,655.71 : x
  2. Step 2: Convert to fraction form
    57,099.47/85,649.22 = 17,655.71/x
  3. Step 3: Cross multiply
    57,099.47x = 85,649.22 × 17,655.71
  4. Step 4: Simplify right side
    57,099.47x = 1,512,197,790.05
  5. Step 5: Solve for x
    x = 1,512,197,790.05/57,099.47
  6. Step 6: Final answer
    x = 26,483.57

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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.