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Finding the Fourth Proportional to 189,973.44, 262,155.42 and 103,932

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Solution

The fourth proportional to 189,973.44, 262,155.42 and 103,932 is: 143,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,973.44 : 262,155.42 = 103,932 : x
  2. Step 2: Convert to fraction form
    189,973.44/262,155.42 = 103,932/x
  3. Step 3: Cross multiply
    189,973.44x = 262,155.42 × 103,932
  4. Step 4: Simplify right side
    189,973.44x = 27,246,337,111.44
  5. Step 5: Solve for x
    x = 27,246,337,111.44/189,973.44
  6. Step 6: Final answer
    x = 143,421.82

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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.