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Finding the Fourth Proportional to 137,174.58, 189,365.63 and 103,196.03

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Solution

The fourth proportional to 137,174.58, 189,365.63 and 103,196.03 is: 142,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,174.58 : 189,365.63 = 103,196.03 : x
  2. Step 2: Convert to fraction form
    137,174.58/189,365.63 = 103,196.03/x
  3. Step 3: Cross multiply
    137,174.58x = 189,365.63 × 103,196.03
  4. Step 4: Simplify right side
    137,174.58x = 19,541,779,771.64
  5. Step 5: Solve for x
    x = 19,541,779,771.64/137,174.58
  6. Step 6: Final answer
    x = 142,459.19

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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.