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Finding the Fourth Proportional to 187,971.42, 281,863.81 and 59,871

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Solution

The fourth proportional to 187,971.42, 281,863.81 and 59,871 is: 89,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,971.42 : 281,863.81 = 59,871 : x
  2. Step 2: Convert to fraction form
    187,971.42/281,863.81 = 59,871/x
  3. Step 3: Cross multiply
    187,971.42x = 281,863.81 × 59,871
  4. Step 4: Simplify right side
    187,971.42x = 16,875,468,168.51
  5. Step 5: Solve for x
    x = 16,875,468,168.51/187,971.42
  6. Step 6: Final answer
    x = 89,776.78

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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.