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Finding the Fourth Proportional to 97,089.59, 133,978.64 and 54,650.85

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Solution

The fourth proportional to 97,089.59, 133,978.64 and 54,650.85 is: 75,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.59 : 133,978.64 = 54,650.85 : x
  2. Step 2: Convert to fraction form
    97,089.59/133,978.64 = 54,650.85/x
  3. Step 3: Cross multiply
    97,089.59x = 133,978.64 × 54,650.85
  4. Step 4: Simplify right side
    97,089.59x = 7,322,046,284.59
  5. Step 5: Solve for x
    x = 7,322,046,284.59/97,089.59
  6. Step 6: Final answer
    x = 75,415.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.