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Finding the Fourth Proportional to 148,855.68, 223,187.04 and 78,768

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Solution

The fourth proportional to 148,855.68, 223,187.04 and 78,768 is: 118,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,855.68 : 223,187.04 = 78,768 : x
  2. Step 2: Convert to fraction form
    148,855.68/223,187.04 = 78,768/x
  3. Step 3: Cross multiply
    148,855.68x = 223,187.04 × 78,768
  4. Step 4: Simplify right side
    148,855.68x = 17,579,996,766.72
  5. Step 5: Solve for x
    x = 17,579,996,766.72/148,855.68
  6. Step 6: Final answer
    x = 118,100.95

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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.