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Finding the Fourth Proportional to 142,328.96, 213,493.16 and 133,668.44

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Solution

The fourth proportional to 142,328.96, 213,493.16 and 133,668.44 is: 200,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.96 : 213,493.16 = 133,668.44 : x
  2. Step 2: Convert to fraction form
    142,328.96/213,493.16 = 133,668.44/x
  3. Step 3: Cross multiply
    142,328.96x = 213,493.16 × 133,668.44
  4. Step 4: Simplify right side
    142,328.96x = 28,537,297,647.87
  5. Step 5: Solve for x
    x = 28,537,297,647.87/142,328.96
  6. Step 6: Final answer
    x = 200,502.40

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1.5x scale

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.