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Finding the Fourth Proportional to 78,212.76, 117,316.84 and 19,047.57

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Solution

The fourth proportional to 78,212.76, 117,316.84 and 19,047.57 is: 28,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.76 : 117,316.84 = 19,047.57 : x
  2. Step 2: Convert to fraction form
    78,212.76/117,316.84 = 19,047.57/x
  3. Step 3: Cross multiply
    78,212.76x = 117,316.84 × 19,047.57
  4. Step 4: Simplify right side
    78,212.76x = 2,234,600,722.08
  5. Step 5: Solve for x
    x = 2,234,600,722.08/78,212.76
  6. Step 6: Final answer
    x = 28,570.79

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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.