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Finding the Fourth Proportional to 97,475.96, 145,881.26 and 81,698.80

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Solution

The fourth proportional to 97,475.96, 145,881.26 and 81,698.80 is: 122,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.96 : 145,881.26 = 81,698.80 : x
  2. Step 2: Convert to fraction form
    97,475.96/145,881.26 = 81,698.80/x
  3. Step 3: Cross multiply
    97,475.96x = 145,881.26 × 81,698.80
  4. Step 4: Simplify right side
    97,475.96x = 11,918,323,884.49
  5. Step 5: Solve for x
    x = 11,918,323,884.49/97,475.96
  6. Step 6: Final answer
    x = 122,269.37

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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.