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Finding the Fourth Proportional to 105,000.12, 157,410.81 and 45,791.64

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Solution

The fourth proportional to 105,000.12, 157,410.81 and 45,791.64 is: 68,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,000.12 : 157,410.81 = 45,791.64 : x
  2. Step 2: Convert to fraction form
    105,000.12/157,410.81 = 45,791.64/x
  3. Step 3: Cross multiply
    105,000.12x = 157,410.81 × 45,791.64
  4. Step 4: Simplify right side
    105,000.12x = 7,208,099,143.63
  5. Step 5: Solve for x
    x = 7,208,099,143.63/105,000.12
  6. Step 6: Final answer
    x = 68,648.48

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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.