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Finding the Fourth Proportional to 57,175.95, 78,904.54 and 31,679.93

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Solution

The fourth proportional to 57,175.95, 78,904.54 and 31,679.93 is: 43,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.95 : 78,904.54 = 31,679.93 : x
  2. Step 2: Convert to fraction form
    57,175.95/78,904.54 = 31,679.93/x
  3. Step 3: Cross multiply
    57,175.95x = 78,904.54 × 31,679.93
  4. Step 4: Simplify right side
    57,175.95x = 2,499,689,830.16
  5. Step 5: Solve for x
    x = 2,499,689,830.16/57,175.95
  6. Step 6: Final answer
    x = 43,719.25

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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.