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Finding the Fourth Proportional to 72,703.31, 109,055.12 and 22,102.79

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Solution

The fourth proportional to 72,703.31, 109,055.12 and 22,102.79 is: 33,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,703.31 : 109,055.12 = 22,102.79 : x
  2. Step 2: Convert to fraction form
    72,703.31/109,055.12 = 22,102.79/x
  3. Step 3: Cross multiply
    72,703.31x = 109,055.12 × 22,102.79
  4. Step 4: Simplify right side
    72,703.31x = 2,410,421,760.00
  5. Step 5: Solve for x
    x = 2,410,421,760.00/72,703.31
  6. Step 6: Final answer
    x = 33,154.23

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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.