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Finding the Fourth Proportional to 189,090.14, 260,939.59 and 103,051.34

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Solution

The fourth proportional to 189,090.14, 260,939.59 and 103,051.34 is: 142,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090.14 : 260,939.59 = 103,051.34 : x
  2. Step 2: Convert to fraction form
    189,090.14/260,939.59 = 103,051.34/x
  3. Step 3: Cross multiply
    189,090.14x = 260,939.59 × 103,051.34
  4. Step 4: Simplify right side
    189,090.14x = 26,890,172,588.60
  5. Step 5: Solve for x
    x = 26,890,172,588.60/189,090.14
  6. Step 6: Final answer
    x = 142,208.22

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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.