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Finding the Fourth Proportional to 98,415.86, 135,814.43 and 55,396.19

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Solution

The fourth proportional to 98,415.86, 135,814.43 and 55,396.19 is: 76,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.86 : 135,814.43 = 55,396.19 : x
  2. Step 2: Convert to fraction form
    98,415.86/135,814.43 = 55,396.19/x
  3. Step 3: Cross multiply
    98,415.86x = 135,814.43 × 55,396.19
  4. Step 4: Simplify right side
    98,415.86x = 7,523,602,447.05
  5. Step 5: Solve for x
    x = 7,523,602,447.05/98,415.86
  6. Step 6: Final answer
    x = 76,447.06

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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.