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Finding the Fourth Proportional to 70,676.64, 97,431 and 49,389.84

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Solution

The fourth proportional to 70,676.64, 97,431 and 49,389.84 is: 68,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.64 : 97,431 = 49,389.84 : x
  2. Step 2: Convert to fraction form
    70,676.64/97,431 = 49,389.84/x
  3. Step 3: Cross multiply
    70,676.64x = 97,431 × 49,389.84
  4. Step 4: Simplify right side
    70,676.64x = 4,812,101,501.04
  5. Step 5: Solve for x
    x = 4,812,101,501.04/70,676.64
  6. Step 6: Final answer
    x = 68,086.17

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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.