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Finding the Fourth Proportional to 189,045.50, 260,881.16 and 104,161.95

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Solution

The fourth proportional to 189,045.50, 260,881.16 and 104,161.95 is: 143,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,045.50 : 260,881.16 = 104,161.95 : x
  2. Step 2: Convert to fraction form
    189,045.50/260,881.16 = 104,161.95/x
  3. Step 3: Cross multiply
    189,045.50x = 260,881.16 × 104,161.95
  4. Step 4: Simplify right side
    189,045.50x = 27,173,889,823.05
  5. Step 5: Solve for x
    x = 27,173,889,823.05/189,045.50
  6. Step 6: Final answer
    x = 143,742.59

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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.