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Finding the Fourth Proportional to 102,898.80, 154,379.34 and 48,904.38

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Solution

The fourth proportional to 102,898.80, 154,379.34 and 48,904.38 is: 73,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.80 : 154,379.34 = 48,904.38 : x
  2. Step 2: Convert to fraction form
    102,898.80/154,379.34 = 48,904.38/x
  3. Step 3: Cross multiply
    102,898.80x = 154,379.34 × 48,904.38
  4. Step 4: Simplify right side
    102,898.80x = 7,549,825,907.51
  5. Step 5: Solve for x
    x = 7,549,825,907.51/102,898.80
  6. Step 6: Final answer
    x = 73,371.37

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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.