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Finding the Fourth Proportional to 72,369.78, 108,565.13 and 27,378.93

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Solution

The fourth proportional to 72,369.78, 108,565.13 and 27,378.93 is: 41,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,369.78 : 108,565.13 = 27,378.93 : x
  2. Step 2: Convert to fraction form
    72,369.78/108,565.13 = 27,378.93/x
  3. Step 3: Cross multiply
    72,369.78x = 108,565.13 × 27,378.93
  4. Step 4: Simplify right side
    72,369.78x = 2,972,397,094.71
  5. Step 5: Solve for x
    x = 2,972,397,094.71/72,369.78
  6. Step 6: Final answer
    x = 41,072.35

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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.