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Finding the Fourth Proportional to 208,575, 312,921.36 and 58,816.71

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Solution

The fourth proportional to 208,575, 312,921.36 and 58,816.71 is: 88,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,575 : 312,921.36 = 58,816.71 : x
  2. Step 2: Convert to fraction form
    208,575/312,921.36 = 58,816.71/x
  3. Step 3: Cross multiply
    208,575x = 312,921.36 × 58,816.71
  4. Step 4: Simplify right side
    208,575x = 18,405,004,883.93
  5. Step 5: Solve for x
    x = 18,405,004,883.93/208,575
  6. Step 6: Final answer
    x = 88,241.66

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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.