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Finding the Fourth Proportional to 187,785.78, 281,303.46 and 112,865.46

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Solution

The fourth proportional to 187,785.78, 281,303.46 and 112,865.46 is: 169,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,785.78 : 281,303.46 = 112,865.46 : x
  2. Step 2: Convert to fraction form
    187,785.78/281,303.46 = 112,865.46/x
  3. Step 3: Cross multiply
    187,785.78x = 281,303.46 × 112,865.46
  4. Step 4: Simplify right side
    187,785.78x = 31,749,444,412.49
  5. Step 5: Solve for x
    x = 31,749,444,412.49/187,785.78
  6. Step 6: Final answer
    x = 169,072.68

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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.