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Finding the Fourth Proportional to 257,893.20, 386,849.52 and 70,919.28

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Solution

The fourth proportional to 257,893.20, 386,849.52 and 70,919.28 is: 106,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,893.20 : 386,849.52 = 70,919.28 : x
  2. Step 2: Convert to fraction form
    257,893.20/386,849.52 = 70,919.28/x
  3. Step 3: Cross multiply
    257,893.20x = 386,849.52 × 70,919.28
  4. Step 4: Simplify right side
    257,893.20x = 27,435,089,426.75
  5. Step 5: Solve for x
    x = 27,435,089,426.75/257,893.20
  6. Step 6: Final answer
    x = 106,381.59

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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.