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Finding the Fourth Proportional to 280,133, 420,203.16 and 93,144.50

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Solution

The fourth proportional to 280,133, 420,203.16 and 93,144.50 is: 139,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,133 : 420,203.16 = 93,144.50 : x
  2. Step 2: Convert to fraction form
    280,133/420,203.16 = 93,144.50/x
  3. Step 3: Cross multiply
    280,133x = 420,203.16 × 93,144.50
  4. Step 4: Simplify right side
    280,133x = 39,139,613,236.62
  5. Step 5: Solve for x
    x = 39,139,613,236.62/280,133
  6. Step 6: Final answer
    x = 139,717.97

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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.