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Finding the Fourth Proportional to 189,095.66, 260,952.05 and 103,054.67

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Solution

The fourth proportional to 189,095.66, 260,952.05 and 103,054.67 is: 142,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.66 : 260,952.05 = 103,054.67 : x
  2. Step 2: Convert to fraction form
    189,095.66/260,952.05 = 103,054.67/x
  3. Step 3: Cross multiply
    189,095.66x = 260,952.05 × 103,054.67
  4. Step 4: Simplify right side
    189,095.66x = 26,892,325,578.54
  5. Step 5: Solve for x
    x = 26,892,325,578.54/189,095.66
  6. Step 6: Final answer
    x = 142,215.46

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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.