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Finding the Fourth Proportional to 73,875, 110,812.50 and 18,471

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Solution

The fourth proportional to 73,875, 110,812.50 and 18,471 is: 27,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,875 : 110,812.50 = 18,471 : x
  2. Step 2: Convert to fraction form
    73,875/110,812.50 = 18,471/x
  3. Step 3: Cross multiply
    73,875x = 110,812.50 × 18,471
  4. Step 4: Simplify right side
    73,875x = 2,046,817,687.50
  5. Step 5: Solve for x
    x = 2,046,817,687.50/73,875
  6. Step 6: Final answer
    x = 27,706.50

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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.