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Finding the Fourth Proportional to 102,266.40, 153,336.96 and 39,864

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Solution

The fourth proportional to 102,266.40, 153,336.96 and 39,864 is: 59,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,266.40 : 153,336.96 = 39,864 : x
  2. Step 2: Convert to fraction form
    102,266.40/153,336.96 = 39,864/x
  3. Step 3: Cross multiply
    102,266.40x = 153,336.96 × 39,864
  4. Step 4: Simplify right side
    102,266.40x = 6,112,624,573.44
  5. Step 5: Solve for x
    x = 6,112,624,573.44/102,266.40
  6. Step 6: Final answer
    x = 59,771.58

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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.