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Finding the Fourth Proportional to 189,090.63, 283,635.14 and 55,971.72

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Solution

The fourth proportional to 189,090.63, 283,635.14 and 55,971.72 is: 83,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090.63 : 283,635.14 = 55,971.72 : x
  2. Step 2: Convert to fraction form
    189,090.63/283,635.14 = 55,971.72/x
  3. Step 3: Cross multiply
    189,090.63x = 283,635.14 × 55,971.72
  4. Step 4: Simplify right side
    189,090.63x = 15,875,546,358.38
  5. Step 5: Solve for x
    x = 15,875,546,358.38/189,090.63
  6. Step 6: Final answer
    x = 83,957.34

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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.