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Finding the Fourth Proportional to 189,107.72, 260,960.96 and 103,064.87

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Solution

The fourth proportional to 189,107.72, 260,960.96 and 103,064.87 is: 142,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,107.72 : 260,960.96 = 103,064.87 : x
  2. Step 2: Convert to fraction form
    189,107.72/260,960.96 = 103,064.87/x
  3. Step 3: Cross multiply
    189,107.72x = 260,960.96 × 103,064.87
  4. Step 4: Simplify right side
    189,107.72x = 26,895,907,417.48
  5. Step 5: Solve for x
    x = 26,895,907,417.48/189,107.72
  6. Step 6: Final answer
    x = 142,225.33

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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.