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Finding the Fourth Proportional to 72,471.44, 108,707.22 and 19,881.32

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Solution

The fourth proportional to 72,471.44, 108,707.22 and 19,881.32 is: 29,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,471.44 : 108,707.22 = 19,881.32 : x
  2. Step 2: Convert to fraction form
    72,471.44/108,707.22 = 19,881.32/x
  3. Step 3: Cross multiply
    72,471.44x = 108,707.22 × 19,881.32
  4. Step 4: Simplify right side
    72,471.44x = 2,161,243,027.13
  5. Step 5: Solve for x
    x = 2,161,243,027.13/72,471.44
  6. Step 6: Final answer
    x = 29,822.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.