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Finding the Fourth Proportional to 201,370.80, 302,712.30 and 142,613.40

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Solution

The fourth proportional to 201,370.80, 302,712.30 and 142,613.40 is: 214,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,370.80 : 302,712.30 = 142,613.40 : x
  2. Step 2: Convert to fraction form
    201,370.80/302,712.30 = 142,613.40/x
  3. Step 3: Cross multiply
    201,370.80x = 302,712.30 × 142,613.40
  4. Step 4: Simplify right side
    201,370.80x = 43,170,830,324.82
  5. Step 5: Solve for x
    x = 43,170,830,324.82/201,370.80
  6. Step 6: Final answer
    x = 214,384.76

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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.