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Finding the Fourth Proportional to 57,055.60, 85,512.12 and 39,384.64

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Solution

The fourth proportional to 57,055.60, 85,512.12 and 39,384.64 is: 59,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.60 : 85,512.12 = 39,384.64 : x
  2. Step 2: Convert to fraction form
    57,055.60/85,512.12 = 39,384.64/x
  3. Step 3: Cross multiply
    57,055.60x = 85,512.12 × 39,384.64
  4. Step 4: Simplify right side
    57,055.60x = 3,367,864,061.84
  5. Step 5: Solve for x
    x = 3,367,864,061.84/57,055.60
  6. Step 6: Final answer
    x = 59,027.76

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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.