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Finding the Fourth Proportional to 189,129.76, 260,970.96 and 108,560.32

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Solution

The fourth proportional to 189,129.76, 260,970.96 and 108,560.32 is: 149,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,129.76 : 260,970.96 = 108,560.32 : x
  2. Step 2: Convert to fraction form
    189,129.76/260,970.96 = 108,560.32/x
  3. Step 3: Cross multiply
    189,129.76x = 260,970.96 × 108,560.32
  4. Step 4: Simplify right side
    189,129.76x = 28,331,090,928.31
  5. Step 5: Solve for x
    x = 28,331,090,928.31/189,129.76
  6. Step 6: Final answer
    x = 149,797.11

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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.