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Finding the Fourth Proportional to 102,870, 154,313.64 and 28,998

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Solution

The fourth proportional to 102,870, 154,313.64 and 28,998 is: 43,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,870 : 154,313.64 = 28,998 : x
  2. Step 2: Convert to fraction form
    102,870/154,313.64 = 28,998/x
  3. Step 3: Cross multiply
    102,870x = 154,313.64 × 28,998
  4. Step 4: Simplify right side
    102,870x = 4,474,786,932.72
  5. Step 5: Solve for x
    x = 4,474,786,932.72/102,870
  6. Step 6: Final answer
    x = 43,499.44

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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.