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Finding the Fourth Proportional to 57,004, 78,664.96 and 31,512

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Solution

The fourth proportional to 57,004, 78,664.96 and 31,512 is: 43,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004 : 78,664.96 = 31,512 : x
  2. Step 2: Convert to fraction form
    57,004/78,664.96 = 31,512/x
  3. Step 3: Cross multiply
    57,004x = 78,664.96 × 31,512
  4. Step 4: Simplify right side
    57,004x = 2,478,890,219.52
  5. Step 5: Solve for x
    x = 2,478,890,219.52/57,004
  6. Step 6: Final answer
    x = 43,486.25

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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.