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Finding the Fourth Proportional to 208,203.55, 312,307.88 and 73,271.64

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Solution

The fourth proportional to 208,203.55, 312,307.88 and 73,271.64 is: 109,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.55 : 312,307.88 = 73,271.64 : x
  2. Step 2: Convert to fraction form
    208,203.55/312,307.88 = 73,271.64/x
  3. Step 3: Cross multiply
    208,203.55x = 312,307.88 × 73,271.64
  4. Step 4: Simplify right side
    208,203.55x = 22,883,310,552.52
  5. Step 5: Solve for x
    x = 22,883,310,552.52/208,203.55
  6. Step 6: Final answer
    x = 109,908.36

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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.