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Finding the Fourth Proportional to 208,869.40, 313,304.10 and 103,893.40

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Solution

The fourth proportional to 208,869.40, 313,304.10 and 103,893.40 is: 155,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869.40 : 313,304.10 = 103,893.40 : x
  2. Step 2: Convert to fraction form
    208,869.40/313,304.10 = 103,893.40/x
  3. Step 3: Cross multiply
    208,869.40x = 313,304.10 × 103,893.40
  4. Step 4: Simplify right side
    208,869.40x = 32,550,228,182.94
  5. Step 5: Solve for x
    x = 32,550,228,182.94/208,869.40
  6. Step 6: Final answer
    x = 155,840.10

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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.