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Finding the Fourth Proportional to 57,208.42, 78,931.62 and 45,071.22

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Solution

The fourth proportional to 57,208.42, 78,931.62 and 45,071.22 is: 62,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.42 : 78,931.62 = 45,071.22 : x
  2. Step 2: Convert to fraction form
    57,208.42/78,931.62 = 45,071.22/x
  3. Step 3: Cross multiply
    57,208.42x = 78,931.62 × 45,071.22
  4. Step 4: Simplify right side
    57,208.42x = 3,557,544,626.66
  5. Step 5: Solve for x
    x = 3,557,544,626.66/57,208.42
  6. Step 6: Final answer
    x = 62,185.69

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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.