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Finding the Fourth Proportional to 30,123, 41,569.74 and 16,875

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Solution

The fourth proportional to 30,123, 41,569.74 and 16,875 is: 23,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123 : 41,569.74 = 16,875 : x
  2. Step 2: Convert to fraction form
    30,123/41,569.74 = 16,875/x
  3. Step 3: Cross multiply
    30,123x = 41,569.74 × 16,875
  4. Step 4: Simplify right side
    30,123x = 701,489,362.50
  5. Step 5: Solve for x
    x = 701,489,362.50/30,123
  6. Step 6: Final answer
    x = 23,287.50

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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.