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Finding the Fourth Proportional to 102,824.40, 154,017.90 and 85,328.40

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Solution

The fourth proportional to 102,824.40, 154,017.90 and 85,328.40 is: 127,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,824.40 : 154,017.90 = 85,328.40 : x
  2. Step 2: Convert to fraction form
    102,824.40/154,017.90 = 85,328.40/x
  3. Step 3: Cross multiply
    102,824.40x = 154,017.90 × 85,328.40
  4. Step 4: Simplify right side
    102,824.40x = 13,142,100,978.36
  5. Step 5: Solve for x
    x = 13,142,100,978.36/102,824.40
  6. Step 6: Final answer
    x = 127,811.11

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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.