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Finding the Fourth Proportional to 208,045.10, 312,067.65 and 103,069.10

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Solution

The fourth proportional to 208,045.10, 312,067.65 and 103,069.10 is: 154,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.10 : 312,067.65 = 103,069.10 : x
  2. Step 2: Convert to fraction form
    208,045.10/312,067.65 = 103,069.10/x
  3. Step 3: Cross multiply
    208,045.10x = 312,067.65 × 103,069.10
  4. Step 4: Simplify right side
    208,045.10x = 32,164,531,824.62
  5. Step 5: Solve for x
    x = 32,164,531,824.62/208,045.10
  6. Step 6: Final answer
    x = 154,603.65

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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.