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Finding the Fourth Proportional to 78,794.75, 108,736.76 and 42,984.90

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Solution

The fourth proportional to 78,794.75, 108,736.76 and 42,984.90 is: 59,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794.75 : 108,736.76 = 42,984.90 : x
  2. Step 2: Convert to fraction form
    78,794.75/108,736.76 = 42,984.90/x
  3. Step 3: Cross multiply
    78,794.75x = 108,736.76 × 42,984.90
  4. Step 4: Simplify right side
    78,794.75x = 4,674,038,754.92
  5. Step 5: Solve for x
    x = 4,674,038,754.92/78,794.75
  6. Step 6: Final answer
    x = 59,319.16

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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.