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Finding the Fourth Proportional to 78,991.05, 109,009.74 and 47,178.30

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Solution

The fourth proportional to 78,991.05, 109,009.74 and 47,178.30 is: 65,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,991.05 : 109,009.74 = 47,178.30 : x
  2. Step 2: Convert to fraction form
    78,991.05/109,009.74 = 47,178.30/x
  3. Step 3: Cross multiply
    78,991.05x = 109,009.74 × 47,178.30
  4. Step 4: Simplify right side
    78,991.05x = 5,142,894,216.64
  5. Step 5: Solve for x
    x = 5,142,894,216.64/78,991.05
  6. Step 6: Final answer
    x = 65,107.30

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1.5x scale

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.