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Finding the Fourth Proportional to 216,794.64, 299,212 and 148,755.45

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Solution

The fourth proportional to 216,794.64, 299,212 and 148,755.45 is: 205,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,794.64 : 299,212 = 148,755.45 : x
  2. Step 2: Convert to fraction form
    216,794.64/299,212 = 148,755.45/x
  3. Step 3: Cross multiply
    216,794.64x = 299,212 × 148,755.45
  4. Step 4: Simplify right side
    216,794.64x = 44,509,415,705.40
  5. Step 5: Solve for x
    x = 44,509,415,705.40/216,794.64
  6. Step 6: Final answer
    x = 205,306.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.