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Finding the Fourth Proportional to 208,599.58, 312,577.26 and 140,866.12

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Solution

The fourth proportional to 208,599.58, 312,577.26 and 140,866.12 is: 211,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.58 : 312,577.26 = 140,866.12 : x
  2. Step 2: Convert to fraction form
    208,599.58/312,577.26 = 140,866.12/x
  3. Step 3: Cross multiply
    208,599.58x = 312,577.26 × 140,866.12
  4. Step 4: Simplify right side
    208,599.58x = 44,031,545,816.43
  5. Step 5: Solve for x
    x = 44,031,545,816.43/208,599.58
  6. Step 6: Final answer
    x = 211,081.66

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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.