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Finding the Fourth Proportional to 57,146.64, 78,849.63 and 34,489.32

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Solution

The fourth proportional to 57,146.64, 78,849.63 and 34,489.32 is: 47,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146.64 : 78,849.63 = 34,489.32 : x
  2. Step 2: Convert to fraction form
    57,146.64/78,849.63 = 34,489.32/x
  3. Step 3: Cross multiply
    57,146.64x = 78,849.63 × 34,489.32
  4. Step 4: Simplify right side
    57,146.64x = 2,719,470,120.95
  5. Step 5: Solve for x
    x = 2,719,470,120.95/57,146.64
  6. Step 6: Final answer
    x = 47,587.58

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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.