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Finding the Fourth Proportional to 208,971.84, 313,472.64 and 103,684.80

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Solution

The fourth proportional to 208,971.84, 313,472.64 and 103,684.80 is: 155,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,971.84 : 313,472.64 = 103,684.80 : x
  2. Step 2: Convert to fraction form
    208,971.84/313,472.64 = 103,684.80/x
  3. Step 3: Cross multiply
    208,971.84x = 313,472.64 × 103,684.80
  4. Step 4: Simplify right side
    208,971.84x = 32,502,347,983.87
  5. Step 5: Solve for x
    x = 32,502,347,983.87/208,971.84
  6. Step 6: Final answer
    x = 155,534.58

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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.