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Finding the Fourth Proportional to 57,639, 79,541.82 and 31,143

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Solution

The fourth proportional to 57,639, 79,541.82 and 31,143 is: 42,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,639 : 79,541.82 = 31,143 : x
  2. Step 2: Convert to fraction form
    57,639/79,541.82 = 31,143/x
  3. Step 3: Cross multiply
    57,639x = 79,541.82 × 31,143
  4. Step 4: Simplify right side
    57,639x = 2,477,170,900.26
  5. Step 5: Solve for x
    x = 2,477,170,900.26/57,639
  6. Step 6: Final answer
    x = 42,977.34

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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.