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Finding the Fourth Proportional to 103,603.65, 154,815.69 and 77,789.68

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Solution

The fourth proportional to 103,603.65, 154,815.69 and 77,789.68 is: 116,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,603.65 : 154,815.69 = 77,789.68 : x
  2. Step 2: Convert to fraction form
    103,603.65/154,815.69 = 77,789.68/x
  3. Step 3: Cross multiply
    103,603.65x = 154,815.69 × 77,789.68
  4. Step 4: Simplify right side
    103,603.65x = 12,043,062,888.75
  5. Step 5: Solve for x
    x = 12,043,062,888.75/103,603.65
  6. Step 6: Final answer
    x = 116,241.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.