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Finding the Fourth Proportional to 70,866.02, 97,786.92 and 40,643

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Solution

The fourth proportional to 70,866.02, 97,786.92 and 40,643 is: 56,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866.02 : 97,786.92 = 40,643 : x
  2. Step 2: Convert to fraction form
    70,866.02/97,786.92 = 40,643/x
  3. Step 3: Cross multiply
    70,866.02x = 97,786.92 × 40,643
  4. Step 4: Simplify right side
    70,866.02x = 3,974,353,789.56
  5. Step 5: Solve for x
    x = 3,974,353,789.56/70,866.02
  6. Step 6: Final answer
    x = 56,082.64

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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.