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Finding the Fourth Proportional to 132,309.60, 197,978.40 and 97,317.60

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Solution

The fourth proportional to 132,309.60, 197,978.40 and 97,317.60 is: 145,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,309.60 : 197,978.40 = 97,317.60 : x
  2. Step 2: Convert to fraction form
    132,309.60/197,978.40 = 97,317.60/x
  3. Step 3: Cross multiply
    132,309.60x = 197,978.40 × 97,317.60
  4. Step 4: Simplify right side
    132,309.60x = 19,266,782,739.84
  5. Step 5: Solve for x
    x = 19,266,782,739.84/132,309.60
  6. Step 6: Final answer
    x = 145,618.93

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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.