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Finding the Fourth Proportional to 251,878.80, 347,504.82 and 142,970.16

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Solution

The fourth proportional to 251,878.80, 347,504.82 and 142,970.16 is: 197,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,878.80 : 347,504.82 = 142,970.16 : x
  2. Step 2: Convert to fraction form
    251,878.80/347,504.82 = 142,970.16/x
  3. Step 3: Cross multiply
    251,878.80x = 347,504.82 × 142,970.16
  4. Step 4: Simplify right side
    251,878.80x = 49,682,819,716.17
  5. Step 5: Solve for x
    x = 49,682,819,716.17/251,878.80
  6. Step 6: Final answer
    x = 197,248.91

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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.