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Finding the Fourth Proportional to 72,831.96, 100,501.26 and 53,722.14

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Solution

The fourth proportional to 72,831.96, 100,501.26 and 53,722.14 is: 74,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,831.96 : 100,501.26 = 53,722.14 : x
  2. Step 2: Convert to fraction form
    72,831.96/100,501.26 = 53,722.14/x
  3. Step 3: Cross multiply
    72,831.96x = 100,501.26 × 53,722.14
  4. Step 4: Simplify right side
    72,831.96x = 5,399,142,181.56
  5. Step 5: Solve for x
    x = 5,399,142,181.56/72,831.96
  6. Step 6: Final answer
    x = 74,131.50

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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.