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Finding the Fourth Proportional to 209,802.56, 289,523.86 and 114,309.94

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Solution

The fourth proportional to 209,802.56, 289,523.86 and 114,309.94 is: 157,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.56 : 289,523.86 = 114,309.94 : x
  2. Step 2: Convert to fraction form
    209,802.56/289,523.86 = 114,309.94/x
  3. Step 3: Cross multiply
    209,802.56x = 289,523.86 × 114,309.94
  4. Step 4: Simplify right side
    209,802.56x = 33,095,455,065.17
  5. Step 5: Solve for x
    x = 33,095,455,065.17/209,802.56
  6. Step 6: Final answer
    x = 157,745.72

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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.