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Finding the Fourth Proportional to 72,643.66, 108,971.76 and 20,053.15

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Solution

The fourth proportional to 72,643.66, 108,971.76 and 20,053.15 is: 30,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,643.66 : 108,971.76 = 20,053.15 : x
  2. Step 2: Convert to fraction form
    72,643.66/108,971.76 = 20,053.15/x
  3. Step 3: Cross multiply
    72,643.66x = 108,971.76 × 20,053.15
  4. Step 4: Simplify right side
    72,643.66x = 2,185,227,049.04
  5. Step 5: Solve for x
    x = 2,185,227,049.04/72,643.66
  6. Step 6: Final answer
    x = 30,081.46

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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.