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Finding the Fourth Proportional to 72,702.96, 100,327.40 and 40,437.44

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Solution

The fourth proportional to 72,702.96, 100,327.40 and 40,437.44 is: 55,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.96 : 100,327.40 = 40,437.44 : x
  2. Step 2: Convert to fraction form
    72,702.96/100,327.40 = 40,437.44/x
  3. Step 3: Cross multiply
    72,702.96x = 100,327.40 × 40,437.44
  4. Step 4: Simplify right side
    72,702.96x = 4,056,983,217.86
  5. Step 5: Solve for x
    x = 4,056,983,217.86/72,702.96
  6. Step 6: Final answer
    x = 55,802.17

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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.