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Finding the Fourth Proportional to 57,036, 78,709.68 and 34,680

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Solution

The fourth proportional to 57,036, 78,709.68 and 34,680 is: 47,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,036 : 78,709.68 = 34,680 : x
  2. Step 2: Convert to fraction form
    57,036/78,709.68 = 34,680/x
  3. Step 3: Cross multiply
    57,036x = 78,709.68 × 34,680
  4. Step 4: Simplify right side
    57,036x = 2,729,651,702.40
  5. Step 5: Solve for x
    x = 2,729,651,702.40/57,036
  6. Step 6: Final answer
    x = 47,858.40

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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.