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Finding the Fourth Proportional to 72,790.66, 100,442.97 and 40,970.50

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Solution

The fourth proportional to 72,790.66, 100,442.97 and 40,970.50 is: 56,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,790.66 : 100,442.97 = 40,970.50 : x
  2. Step 2: Convert to fraction form
    72,790.66/100,442.97 = 40,970.50/x
  3. Step 3: Cross multiply
    72,790.66x = 100,442.97 × 40,970.50
  4. Step 4: Simplify right side
    72,790.66x = 4,115,198,702.39
  5. Step 5: Solve for x
    x = 4,115,198,702.39/72,790.66
  6. Step 6: Final answer
    x = 56,534.71

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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.