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Finding the Fourth Proportional to 189,125.73, 260,992.67 and 103,089.69

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Solution

The fourth proportional to 189,125.73, 260,992.67 and 103,089.69 is: 142,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,125.73 : 260,992.67 = 103,089.69 : x
  2. Step 2: Convert to fraction form
    189,125.73/260,992.67 = 103,089.69/x
  3. Step 3: Cross multiply
    189,125.73x = 260,992.67 × 103,089.69
  4. Step 4: Simplify right side
    189,125.73x = 26,905,652,927.12
  5. Step 5: Solve for x
    x = 26,905,652,927.12/189,125.73
  6. Step 6: Final answer
    x = 142,263.31

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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.