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Finding the Fourth Proportional to 139,805.81, 209,722.37 and 55,547.19

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Solution

The fourth proportional to 139,805.81, 209,722.37 and 55,547.19 is: 83,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,805.81 : 209,722.37 = 55,547.19 : x
  2. Step 2: Convert to fraction form
    139,805.81/209,722.37 = 55,547.19/x
  3. Step 3: Cross multiply
    139,805.81x = 209,722.37 × 55,547.19
  4. Step 4: Simplify right side
    139,805.81x = 11,649,488,977.54
  5. Step 5: Solve for x
    x = 11,649,488,977.54/139,805.81
  6. Step 6: Final answer
    x = 83,326.21

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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.