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Finding the Fourth Proportional to 72,593.12, 100,178.16 and 40,764.80

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Solution

The fourth proportional to 72,593.12, 100,178.16 and 40,764.80 is: 56,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,593.12 : 100,178.16 = 40,764.80 : x
  2. Step 2: Convert to fraction form
    72,593.12/100,178.16 = 40,764.80/x
  3. Step 3: Cross multiply
    72,593.12x = 100,178.16 × 40,764.80
  4. Step 4: Simplify right side
    72,593.12x = 4,083,742,656.77
  5. Step 5: Solve for x
    x = 4,083,742,656.77/72,593.12
  6. Step 6: Final answer
    x = 56,255.23

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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.