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Finding the Fourth Proportional to 73,769, 101,802.44 and 40,235

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Solution

The fourth proportional to 73,769, 101,802.44 and 40,235 is: 55,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,769 : 101,802.44 = 40,235 : x
  2. Step 2: Convert to fraction form
    73,769/101,802.44 = 40,235/x
  3. Step 3: Cross multiply
    73,769x = 101,802.44 × 40,235
  4. Step 4: Simplify right side
    73,769x = 4,096,020,972.23
  5. Step 5: Solve for x
    x = 4,096,020,972.23/73,769
  6. Step 6: Final answer
    x = 55,524.96

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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.