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Finding the Fourth Proportional to 208,223.92, 312,341.91 and 66,069.82

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Solution

The fourth proportional to 208,223.92, 312,341.91 and 66,069.82 is: 99,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,223.92 : 312,341.91 = 66,069.82 : x
  2. Step 2: Convert to fraction form
    208,223.92/312,341.91 = 66,069.82/x
  3. Step 3: Cross multiply
    208,223.92x = 312,341.91 × 66,069.82
  4. Step 4: Simplify right side
    208,223.92x = 20,636,373,772.16
  5. Step 5: Solve for x
    x = 20,636,373,772.16/208,223.92
  6. Step 6: Final answer
    x = 99,106.64

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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.