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Finding the Fourth Proportional to 144,963.34, 217,507.59 and 78,450.40

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Solution

The fourth proportional to 144,963.34, 217,507.59 and 78,450.40 is: 117,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,963.34 : 217,507.59 = 78,450.40 : x
  2. Step 2: Convert to fraction form
    144,963.34/217,507.59 = 78,450.40/x
  3. Step 3: Cross multiply
    144,963.34x = 217,507.59 × 78,450.40
  4. Step 4: Simplify right side
    144,963.34x = 17,063,557,438.54
  5. Step 5: Solve for x
    x = 17,063,557,438.54/144,963.34
  6. Step 6: Final answer
    x = 117,709.47

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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.