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Finding the Fourth Proportional to 57,157.79, 78,876.89 and 31,664.08

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Solution

The fourth proportional to 57,157.79, 78,876.89 and 31,664.08 is: 43,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.79 : 78,876.89 = 31,664.08 : x
  2. Step 2: Convert to fraction form
    57,157.79/78,876.89 = 31,664.08/x
  3. Step 3: Cross multiply
    57,157.79x = 78,876.89 × 31,664.08
  4. Step 4: Simplify right side
    57,157.79x = 2,497,564,155.11
  5. Step 5: Solve for x
    x = 2,497,564,155.11/57,157.79
  6. Step 6: Final answer
    x = 43,695.95

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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.