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Finding the Fourth Proportional to 189,035.36, 260,871.80 and 102,998.40

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Solution

The fourth proportional to 189,035.36, 260,871.80 and 102,998.40 is: 142,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,035.36 : 260,871.80 = 102,998.40 : x
  2. Step 2: Convert to fraction form
    189,035.36/260,871.80 = 102,998.40/x
  3. Step 3: Cross multiply
    189,035.36x = 260,871.80 × 102,998.40
  4. Step 4: Simplify right side
    189,035.36x = 26,869,377,490.13
  5. Step 5: Solve for x
    x = 26,869,377,490.13/189,035.36
  6. Step 6: Final answer
    x = 142,139.43

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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.