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Finding the Fourth Proportional to 189,013, 260,837.94 and 104,130.04

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Solution

The fourth proportional to 189,013, 260,837.94 and 104,130.04 is: 143,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,013 : 260,837.94 = 104,130.04 : x
  2. Step 2: Convert to fraction form
    189,013/260,837.94 = 104,130.04/x
  3. Step 3: Cross multiply
    189,013x = 260,837.94 × 104,130.04
  4. Step 4: Simplify right side
    189,013x = 27,161,065,125.72
  5. Step 5: Solve for x
    x = 27,161,065,125.72/189,013
  6. Step 6: Final answer
    x = 143,699.46

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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.