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Finding the Fourth Proportional to 142,795.96, 214,223.88 and 42,963.44

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Solution

The fourth proportional to 142,795.96, 214,223.88 and 42,963.44 is: 64,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,795.96 : 214,223.88 = 42,963.44 : x
  2. Step 2: Convert to fraction form
    142,795.96/214,223.88 = 42,963.44/x
  3. Step 3: Cross multiply
    142,795.96x = 214,223.88 × 42,963.44
  4. Step 4: Simplify right side
    142,795.96x = 9,203,794,814.95
  5. Step 5: Solve for x
    x = 9,203,794,814.95/142,795.96
  6. Step 6: Final answer
    x = 64,454.17

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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.