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Finding the Fourth Proportional to 223,518.72, 308,583.36 and 148,169.28

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Solution

The fourth proportional to 223,518.72, 308,583.36 and 148,169.28 is: 204,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,518.72 : 308,583.36 = 148,169.28 : x
  2. Step 2: Convert to fraction form
    223,518.72/308,583.36 = 148,169.28/x
  3. Step 3: Cross multiply
    223,518.72x = 308,583.36 × 148,169.28
  4. Step 4: Simplify right side
    223,518.72x = 45,722,574,271.18
  5. Step 5: Solve for x
    x = 45,722,574,271.18/223,518.72
  6. Step 6: Final answer
    x = 204,558.14

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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.