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Finding the Fourth Proportional to 278,158.36, 417,053.20 and 100,642

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Solution

The fourth proportional to 278,158.36, 417,053.20 and 100,642 is: 150,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,158.36 : 417,053.20 = 100,642 : x
  2. Step 2: Convert to fraction form
    278,158.36/417,053.20 = 100,642/x
  3. Step 3: Cross multiply
    278,158.36x = 417,053.20 × 100,642
  4. Step 4: Simplify right side
    278,158.36x = 41,973,068,154.40
  5. Step 5: Solve for x
    x = 41,973,068,154.40/278,158.36
  6. Step 6: Final answer
    x = 150,896.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.