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Finding the Fourth Proportional to 78,709.64, 117,898 and 63,652.16

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Solution

The fourth proportional to 78,709.64, 117,898 and 63,652.16 is: 95,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,709.64 : 117,898 = 63,652.16 : x
  2. Step 2: Convert to fraction form
    78,709.64/117,898 = 63,652.16/x
  3. Step 3: Cross multiply
    78,709.64x = 117,898 × 63,652.16
  4. Step 4: Simplify right side
    78,709.64x = 7,504,462,359.68
  5. Step 5: Solve for x
    x = 7,504,462,359.68/78,709.64
  6. Step 6: Final answer
    x = 95,343.62

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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.