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Finding the Fourth Proportional to 70,460.64, 97,238.70 and 42,160.86

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Solution

The fourth proportional to 70,460.64, 97,238.70 and 42,160.86 is: 58,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460.64 : 97,238.70 = 42,160.86 : x
  2. Step 2: Convert to fraction form
    70,460.64/97,238.70 = 42,160.86/x
  3. Step 3: Cross multiply
    70,460.64x = 97,238.70 × 42,160.86
  4. Step 4: Simplify right side
    70,460.64x = 4,099,667,217.28
  5. Step 5: Solve for x
    x = 4,099,667,217.28/70,460.64
  6. Step 6: Final answer
    x = 58,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.