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Finding the Fourth Proportional to 189,071, 260,918.82 and 104,186.24

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Solution

The fourth proportional to 189,071, 260,918.82 and 104,186.24 is: 143,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071 : 260,918.82 = 104,186.24 : x
  2. Step 2: Convert to fraction form
    189,071/260,918.82 = 104,186.24/x
  3. Step 3: Cross multiply
    189,071x = 260,918.82 × 104,186.24
  4. Step 4: Simplify right side
    189,071x = 27,184,150,801.04
  5. Step 5: Solve for x
    x = 27,184,150,801.04/189,071
  6. Step 6: Final answer
    x = 143,777.47

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1.5x scale

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.