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Finding the Fourth Proportional to 78,702.49, 108,606.27 and 42,891.73

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Solution

The fourth proportional to 78,702.49, 108,606.27 and 42,891.73 is: 59,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,702.49 : 108,606.27 = 42,891.73 : x
  2. Step 2: Convert to fraction form
    78,702.49/108,606.27 = 42,891.73/x
  3. Step 3: Cross multiply
    78,702.49x = 108,606.27 × 42,891.73
  4. Step 4: Simplify right side
    78,702.49x = 4,658,310,457.21
  5. Step 5: Solve for x
    x = 4,658,310,457.21/78,702.49
  6. Step 6: Final answer
    x = 59,188.86

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1.5x scale

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.