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Finding the Fourth Proportional to 103,277.84, 154,896.71 and 28,378.76

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Solution

The fourth proportional to 103,277.84, 154,896.71 and 28,378.76 is: 42,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,277.84 : 154,896.71 = 28,378.76 : x
  2. Step 2: Convert to fraction form
    103,277.84/154,896.71 = 28,378.76/x
  3. Step 3: Cross multiply
    103,277.84x = 154,896.71 × 28,378.76
  4. Step 4: Simplify right side
    103,277.84x = 4,395,775,641.50
  5. Step 5: Solve for x
    x = 4,395,775,641.50/103,277.84
  6. Step 6: Final answer
    x = 42,562.62

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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.