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Finding the Fourth Proportional to 189,071.73, 260,918.46 and 104,188.77

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Solution

The fourth proportional to 189,071.73, 260,918.46 and 104,188.77 is: 143,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.73 : 260,918.46 = 104,188.77 : x
  2. Step 2: Convert to fraction form
    189,071.73/260,918.46 = 104,188.77/x
  3. Step 3: Cross multiply
    189,071.73x = 260,918.46 × 104,188.77
  4. Step 4: Simplify right side
    189,071.73x = 27,184,773,417.69
  5. Step 5: Solve for x
    x = 27,184,773,417.69/189,071.73
  6. Step 6: Final answer
    x = 143,780.21

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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.