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Finding the Fourth Proportional to 212,749.96, 319,124.96 and 124,003.12

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Solution

The fourth proportional to 212,749.96, 319,124.96 and 124,003.12 is: 186,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,749.96 : 319,124.96 = 124,003.12 : x
  2. Step 2: Convert to fraction form
    212,749.96/319,124.96 = 124,003.12/x
  3. Step 3: Cross multiply
    212,749.96x = 319,124.96 × 124,003.12
  4. Step 4: Simplify right side
    212,749.96x = 39,572,490,709.88
  5. Step 5: Solve for x
    x = 39,572,490,709.88/212,749.96
  6. Step 6: Final answer
    x = 186,004.69

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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.