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Finding the Fourth Proportional to 189,098.64, 260,957.88 and 104,218.80

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Solution

The fourth proportional to 189,098.64, 260,957.88 and 104,218.80 is: 143,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.64 : 260,957.88 = 104,218.80 : x
  2. Step 2: Convert to fraction form
    189,098.64/260,957.88 = 104,218.80/x
  3. Step 3: Cross multiply
    189,098.64x = 260,957.88 × 104,218.80
  4. Step 4: Simplify right side
    189,098.64x = 27,196,717,104.14
  5. Step 5: Solve for x
    x = 27,196,717,104.14/189,098.64
  6. Step 6: Final answer
    x = 143,822.91

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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.