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Finding the Fourth Proportional to 102,742.40, 154,113.60 and 36,257.60

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Solution

The fourth proportional to 102,742.40, 154,113.60 and 36,257.60 is: 54,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,742.40 : 154,113.60 = 36,257.60 : x
  2. Step 2: Convert to fraction form
    102,742.40/154,113.60 = 36,257.60/x
  3. Step 3: Cross multiply
    102,742.40x = 154,113.60 × 36,257.60
  4. Step 4: Simplify right side
    102,742.40x = 5,587,789,263.36
  5. Step 5: Solve for x
    x = 5,587,789,263.36/102,742.40
  6. Step 6: Final answer
    x = 54,386.40

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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.