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Finding the Fourth Proportional to 189,089.96, 260,944.20 and 103,048.98

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Solution

The fourth proportional to 189,089.96, 260,944.20 and 103,048.98 is: 142,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,089.96 : 260,944.20 = 103,048.98 : x
  2. Step 2: Convert to fraction form
    189,089.96/260,944.20 = 103,048.98/x
  3. Step 3: Cross multiply
    189,089.96x = 260,944.20 × 103,048.98
  4. Step 4: Simplify right side
    189,089.96x = 26,890,033,646.92
  5. Step 5: Solve for x
    x = 26,890,033,646.92/189,089.96
  6. Step 6: Final answer
    x = 142,207.62

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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.