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Finding the Fourth Proportional to 189,038.78, 260,873.31 and 104,155.82

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Solution

The fourth proportional to 189,038.78, 260,873.31 and 104,155.82 is: 143,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,038.78 : 260,873.31 = 104,155.82 : x
  2. Step 2: Convert to fraction form
    189,038.78/260,873.31 = 104,155.82/x
  3. Step 3: Cross multiply
    189,038.78x = 260,873.31 × 104,155.82
  4. Step 4: Simplify right side
    189,038.78x = 27,171,473,519.16
  5. Step 5: Solve for x
    x = 27,171,473,519.16/189,038.78
  6. Step 6: Final answer
    x = 143,734.92

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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.