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Finding the Fourth Proportional to 208,570.61, 312,498.35 and 140,053.73

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Solution

The fourth proportional to 208,570.61, 312,498.35 and 140,053.73 is: 209,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,570.61 : 312,498.35 = 140,053.73 : x
  2. Step 2: Convert to fraction form
    208,570.61/312,498.35 = 140,053.73/x
  3. Step 3: Cross multiply
    208,570.61x = 312,498.35 × 140,053.73
  4. Step 4: Simplify right side
    208,570.61x = 43,766,557,273.59
  5. Step 5: Solve for x
    x = 43,766,557,273.59/208,570.61
  6. Step 6: Final answer
    x = 209,840.48

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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.