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Finding the Fourth Proportional to 189,099.16, 260,950.21 and 103,056.37

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Solution

The fourth proportional to 189,099.16, 260,950.21 and 103,056.37 is: 142,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.16 : 260,950.21 = 103,056.37 : x
  2. Step 2: Convert to fraction form
    189,099.16/260,950.21 = 103,056.37/x
  3. Step 3: Cross multiply
    189,099.16x = 260,950.21 × 103,056.37
  4. Step 4: Simplify right side
    189,099.16x = 26,892,581,393.34
  5. Step 5: Solve for x
    x = 26,892,581,393.34/189,099.16
  6. Step 6: Final answer
    x = 142,214.18

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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.