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Finding the Fourth Proportional to 224,666, 310,039.08 and 145,178

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Solution

The fourth proportional to 224,666, 310,039.08 and 145,178 is: 200,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,666 : 310,039.08 = 145,178 : x
  2. Step 2: Convert to fraction form
    224,666/310,039.08 = 145,178/x
  3. Step 3: Cross multiply
    224,666x = 310,039.08 × 145,178
  4. Step 4: Simplify right side
    224,666x = 45,010,853,556.24
  5. Step 5: Solve for x
    x = 45,010,853,556.24/224,666
  6. Step 6: Final answer
    x = 200,345.64

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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.