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Finding the Fourth Proportional to 72,176.36, 99,601.62 and 40,349

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Solution

The fourth proportional to 72,176.36, 99,601.62 and 40,349 is: 55,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176.36 : 99,601.62 = 40,349 : x
  2. Step 2: Convert to fraction form
    72,176.36/99,601.62 = 40,349/x
  3. Step 3: Cross multiply
    72,176.36x = 99,601.62 × 40,349
  4. Step 4: Simplify right side
    72,176.36x = 4,018,825,765.38
  5. Step 5: Solve for x
    x = 4,018,825,765.38/72,176.36
  6. Step 6: Final answer
    x = 55,680.64

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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.