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Finding the Fourth Proportional to 208,420.32, 312,627.76 and 50,648.32

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Solution

The fourth proportional to 208,420.32, 312,627.76 and 50,648.32 is: 75,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,420.32 : 312,627.76 = 50,648.32 : x
  2. Step 2: Convert to fraction form
    208,420.32/312,627.76 = 50,648.32/x
  3. Step 3: Cross multiply
    208,420.32x = 312,627.76 × 50,648.32
  4. Step 4: Simplify right side
    208,420.32x = 15,834,070,829.36
  5. Step 5: Solve for x
    x = 15,834,070,829.36/208,420.32
  6. Step 6: Final answer
    x = 75,971.82

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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.