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Finding the Fourth Proportional to 208,559.20, 312,838.80 and 68,322.40

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Solution

The fourth proportional to 208,559.20, 312,838.80 and 68,322.40 is: 102,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.20 : 312,838.80 = 68,322.40 : x
  2. Step 2: Convert to fraction form
    208,559.20/312,838.80 = 68,322.40/x
  3. Step 3: Cross multiply
    208,559.20x = 312,838.80 × 68,322.40
  4. Step 4: Simplify right side
    208,559.20x = 21,373,897,629.12
  5. Step 5: Solve for x
    x = 21,373,897,629.12/208,559.20
  6. Step 6: Final answer
    x = 102,483.60

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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.