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Finding the Fourth Proportional to 171,830.40, 257,749.92 and 66,672.96

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Solution

The fourth proportional to 171,830.40, 257,749.92 and 66,672.96 is: 100,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.40 : 257,749.92 = 66,672.96 : x
  2. Step 2: Convert to fraction form
    171,830.40/257,749.92 = 66,672.96/x
  3. Step 3: Cross multiply
    171,830.40x = 257,749.92 × 66,672.96
  4. Step 4: Simplify right side
    171,830.40x = 17,184,950,106.16
  5. Step 5: Solve for x
    x = 17,184,950,106.16/171,830.40
  6. Step 6: Final answer
    x = 100,011.12

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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.