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Finding the Fourth Proportional to 187,543, 281,314.50 and 56,215

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Solution

The fourth proportional to 187,543, 281,314.50 and 56,215 is: 84,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,543 : 281,314.50 = 56,215 : x
  2. Step 2: Convert to fraction form
    187,543/281,314.50 = 56,215/x
  3. Step 3: Cross multiply
    187,543x = 281,314.50 × 56,215
  4. Step 4: Simplify right side
    187,543x = 15,814,094,617.50
  5. Step 5: Solve for x
    x = 15,814,094,617.50/187,543
  6. Step 6: Final answer
    x = 84,322.50

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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.