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Finding the Fourth Proportional to 102,448.33, 153,440.43 and 54,980.71

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Solution

The fourth proportional to 102,448.33, 153,440.43 and 54,980.71 is: 82,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448.33 : 153,440.43 = 54,980.71 : x
  2. Step 2: Convert to fraction form
    102,448.33/153,440.43 = 54,980.71/x
  3. Step 3: Cross multiply
    102,448.33x = 153,440.43 × 54,980.71
  4. Step 4: Simplify right side
    102,448.33x = 8,436,263,194.33
  5. Step 5: Solve for x
    x = 8,436,263,194.33/102,448.33
  6. Step 6: Final answer
    x = 82,346.52

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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.