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Finding the Fourth Proportional to 72,148.14, 108,218.16 and 19,553.76

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Solution

The fourth proportional to 72,148.14, 108,218.16 and 19,553.76 is: 29,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,148.14 : 108,218.16 = 19,553.76 : x
  2. Step 2: Convert to fraction form
    72,148.14/108,218.16 = 19,553.76/x
  3. Step 3: Cross multiply
    72,148.14x = 108,218.16 × 19,553.76
  4. Step 4: Simplify right side
    72,148.14x = 2,116,071,928.28
  5. Step 5: Solve for x
    x = 2,116,071,928.28/72,148.14
  6. Step 6: Final answer
    x = 29,329.54

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1.5x scale

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.