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Finding the Fourth Proportional to 208,763.10, 313,011.45 and 137,603.58

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Solution

The fourth proportional to 208,763.10, 313,011.45 and 137,603.58 is: 206,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.10 : 313,011.45 = 137,603.58 : x
  2. Step 2: Convert to fraction form
    208,763.10/313,011.45 = 137,603.58/x
  3. Step 3: Cross multiply
    208,763.10x = 313,011.45 × 137,603.58
  4. Step 4: Simplify right side
    208,763.10x = 43,071,496,100.99
  5. Step 5: Solve for x
    x = 43,071,496,100.99/208,763.10
  6. Step 6: Final answer
    x = 206,317.57

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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.