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Finding the Fourth Proportional to 57,026, 78,695.88 and 31,880.36

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Solution

The fourth proportional to 57,026, 78,695.88 and 31,880.36 is: 43,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,026 : 78,695.88 = 31,880.36 : x
  2. Step 2: Convert to fraction form
    57,026/78,695.88 = 31,880.36/x
  3. Step 3: Cross multiply
    57,026x = 78,695.88 × 31,880.36
  4. Step 4: Simplify right side
    57,026x = 2,508,852,984.92
  5. Step 5: Solve for x
    x = 2,508,852,984.92/57,026
  6. Step 6: Final answer
    x = 43,994.90

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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.