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Finding the Fourth Proportional to 47,702.80, 65,861.94 and 42,650.92

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Solution

The fourth proportional to 47,702.80, 65,861.94 and 42,650.92 is: 58,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.80 : 65,861.94 = 42,650.92 : x
  2. Step 2: Convert to fraction form
    47,702.80/65,861.94 = 42,650.92/x
  3. Step 3: Cross multiply
    47,702.80x = 65,861.94 × 42,650.92
  4. Step 4: Simplify right side
    47,702.80x = 2,809,072,333.98
  5. Step 5: Solve for x
    x = 2,809,072,333.98/47,702.80
  6. Step 6: Final answer
    x = 58,886.95

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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.