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Finding the Fourth Proportional to 72,889.23, 109,349.19 and 41,314.42

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Solution

The fourth proportional to 72,889.23, 109,349.19 and 41,314.42 is: 61,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,889.23 : 109,349.19 = 41,314.42 : x
  2. Step 2: Convert to fraction form
    72,889.23/109,349.19 = 41,314.42/x
  3. Step 3: Cross multiply
    72,889.23x = 109,349.19 × 41,314.42
  4. Step 4: Simplify right side
    72,889.23x = 4,517,698,362.32
  5. Step 5: Solve for x
    x = 4,517,698,362.32/72,889.23
  6. Step 6: Final answer
    x = 61,980.33

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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.