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Finding the Fourth Proportional to 218,809.26, 302,013 and 142,518.51

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Solution

The fourth proportional to 218,809.26, 302,013 and 142,518.51 is: 196,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,809.26 : 302,013 = 142,518.51 : x
  2. Step 2: Convert to fraction form
    218,809.26/302,013 = 142,518.51/x
  3. Step 3: Cross multiply
    218,809.26x = 302,013 × 142,518.51
  4. Step 4: Simplify right side
    218,809.26x = 43,042,442,760.63
  5. Step 5: Solve for x
    x = 43,042,442,760.63/218,809.26
  6. Step 6: Final answer
    x = 196,712.16

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1.5x scale

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.