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Finding the Fourth Proportional to 70,670.64, 97,422.72 and 49,383.84

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Solution

The fourth proportional to 70,670.64, 97,422.72 and 49,383.84 is: 68,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670.64 : 97,422.72 = 49,383.84 : x
  2. Step 2: Convert to fraction form
    70,670.64/97,422.72 = 49,383.84/x
  3. Step 3: Cross multiply
    70,670.64x = 97,422.72 × 49,383.84
  4. Step 4: Simplify right side
    70,670.64x = 4,811,108,016.84
  5. Step 5: Solve for x
    x = 4,811,108,016.84/70,670.64
  6. Step 6: Final answer
    x = 68,077.89

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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.