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Finding the Fourth Proportional to 72,578.82, 100,157.94 and 40,746.90

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Solution

The fourth proportional to 72,578.82, 100,157.94 and 40,746.90 is: 56,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.82 : 100,157.94 = 40,746.90 : x
  2. Step 2: Convert to fraction form
    72,578.82/100,157.94 = 40,746.90/x
  3. Step 3: Cross multiply
    72,578.82x = 100,157.94 × 40,746.90
  4. Step 4: Simplify right side
    72,578.82x = 4,081,125,565.39
  5. Step 5: Solve for x
    x = 4,081,125,565.39/72,578.82
  6. Step 6: Final answer
    x = 56,230.26

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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.