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Finding the Fourth Proportional to 208,869.33, 313,355.03 and 66,714.63

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Solution

The fourth proportional to 208,869.33, 313,355.03 and 66,714.63 is: 100,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869.33 : 313,355.03 = 66,714.63 : x
  2. Step 2: Convert to fraction form
    208,869.33/313,355.03 = 66,714.63/x
  3. Step 3: Cross multiply
    208,869.33x = 313,355.03 × 66,714.63
  4. Step 4: Simplify right side
    208,869.33x = 20,905,364,551.52
  5. Step 5: Solve for x
    x = 20,905,364,551.52/208,869.33
  6. Step 6: Final answer
    x = 100,088.24

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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.