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Finding the Fourth Proportional to 100,998.81, 151,462.77 and 55,397.34

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Solution

The fourth proportional to 100,998.81, 151,462.77 and 55,397.34 is: 83,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.81 : 151,462.77 = 55,397.34 : x
  2. Step 2: Convert to fraction form
    100,998.81/151,462.77 = 55,397.34/x
  3. Step 3: Cross multiply
    100,998.81x = 151,462.77 × 55,397.34
  4. Step 4: Simplify right side
    100,998.81x = 8,390,634,567.03
  5. Step 5: Solve for x
    x = 8,390,634,567.03/100,998.81
  6. Step 6: Final answer
    x = 83,076.57

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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.