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Finding the Fourth Proportional to 97,978.23, 135,274.73 and 87,349.41

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Solution

The fourth proportional to 97,978.23, 135,274.73 and 87,349.41 is: 120,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978.23 : 135,274.73 = 87,349.41 : x
  2. Step 2: Convert to fraction form
    97,978.23/135,274.73 = 87,349.41/x
  3. Step 3: Cross multiply
    97,978.23x = 135,274.73 × 87,349.41
  4. Step 4: Simplify right side
    97,978.23x = 11,816,167,416.66
  5. Step 5: Solve for x
    x = 11,816,167,416.66/97,978.23
  6. Step 6: Final answer
    x = 120,599.93

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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.