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Finding the Fourth Proportional to 145,868.69, 218,715.54 and 66,883.97

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Solution

The fourth proportional to 145,868.69, 218,715.54 and 66,883.97 is: 100,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,868.69 : 218,715.54 = 66,883.97 : x
  2. Step 2: Convert to fraction form
    145,868.69/218,715.54 = 66,883.97/x
  3. Step 3: Cross multiply
    145,868.69x = 218,715.54 × 66,883.97
  4. Step 4: Simplify right side
    145,868.69x = 14,628,562,522.32
  5. Step 5: Solve for x
    x = 14,628,562,522.32/145,868.69
  6. Step 6: Final answer
    x = 100,285.83

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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.