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Finding the Fourth Proportional to 189,496.96, 261,501.58 and 103,452.64

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Solution

The fourth proportional to 189,496.96, 261,501.58 and 103,452.64 is: 142,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496.96 : 261,501.58 = 103,452.64 : x
  2. Step 2: Convert to fraction form
    189,496.96/261,501.58 = 103,452.64/x
  3. Step 3: Cross multiply
    189,496.96x = 261,501.58 × 103,452.64
  4. Step 4: Simplify right side
    189,496.96x = 27,053,028,815.17
  5. Step 5: Solve for x
    x = 27,053,028,815.17/189,496.96
  6. Step 6: Final answer
    x = 142,762.34

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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.