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Finding the Fourth Proportional to 102,823.40, 154,016.40 and 85,327.40

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Solution

The fourth proportional to 102,823.40, 154,016.40 and 85,327.40 is: 127,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,823.40 : 154,016.40 = 85,327.40 : x
  2. Step 2: Convert to fraction form
    102,823.40/154,016.40 = 85,327.40/x
  3. Step 3: Cross multiply
    102,823.40x = 154,016.40 × 85,327.40
  4. Step 4: Simplify right side
    102,823.40x = 13,141,818,969.36
  5. Step 5: Solve for x
    x = 13,141,818,969.36/102,823.40
  6. Step 6: Final answer
    x = 127,809.61

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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.