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Finding the Fourth Proportional to 78,213.51, 117,317.97 and 19,048.32

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Solution

The fourth proportional to 78,213.51, 117,317.97 and 19,048.32 is: 28,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213.51 : 117,317.97 = 19,048.32 : x
  2. Step 2: Convert to fraction form
    78,213.51/117,317.97 = 19,048.32/x
  3. Step 3: Cross multiply
    78,213.51x = 117,317.97 × 19,048.32
  4. Step 4: Simplify right side
    78,213.51x = 2,234,710,234.31
  5. Step 5: Solve for x
    x = 2,234,710,234.31/78,213.51
  6. Step 6: Final answer
    x = 28,571.92

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1.5x scale

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.