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Finding the Fourth Proportional to 208,580.61, 312,548.88 and 140,847.18

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Solution

The fourth proportional to 208,580.61, 312,548.88 and 140,847.18 is: 211,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.61 : 312,548.88 = 140,847.18 : x
  2. Step 2: Convert to fraction form
    208,580.61/312,548.88 = 140,847.18/x
  3. Step 3: Cross multiply
    208,580.61x = 312,548.88 × 140,847.18
  4. Step 4: Simplify right side
    208,580.61x = 44,021,629,532.22
  5. Step 5: Solve for x
    x = 44,021,629,532.22/208,580.61
  6. Step 6: Final answer
    x = 211,053.32

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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.