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Finding the Fourth Proportional to 251,522.83, 347,099.86 and 142,647.89

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Solution

The fourth proportional to 251,522.83, 347,099.86 and 142,647.89 is: 196,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,522.83 : 347,099.86 = 142,647.89 : x
  2. Step 2: Convert to fraction form
    251,522.83/347,099.86 = 142,647.89/x
  3. Step 3: Cross multiply
    251,522.83x = 347,099.86 × 142,647.89
  4. Step 4: Simplify right side
    251,522.83x = 49,513,063,159.43
  5. Step 5: Solve for x
    x = 49,513,063,159.43/251,522.83
  6. Step 6: Final answer
    x = 196,853.16

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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.