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Finding the Fourth Proportional to 74,475, 102,863.25 and 49,280.76

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Solution

The fourth proportional to 74,475, 102,863.25 and 49,280.76 is: 68,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 102,863.25 = 49,280.76 : x
  2. Step 2: Convert to fraction form
    74,475/102,863.25 = 49,280.76/x
  3. Step 3: Cross multiply
    74,475x = 102,863.25 × 49,280.76
  4. Step 4: Simplify right side
    74,475x = 5,069,179,136.07
  5. Step 5: Solve for x
    x = 5,069,179,136.07/74,475
  6. Step 6: Final answer
    x = 68,065.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.