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Finding the Fourth Proportional to 78,803.76, 108,734.30 and 46,975.62

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Solution

The fourth proportional to 78,803.76, 108,734.30 and 46,975.62 is: 64,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.76 : 108,734.30 = 46,975.62 : x
  2. Step 2: Convert to fraction form
    78,803.76/108,734.30 = 46,975.62/x
  3. Step 3: Cross multiply
    78,803.76x = 108,734.30 × 46,975.62
  4. Step 4: Simplify right side
    78,803.76x = 5,107,861,157.77
  5. Step 5: Solve for x
    x = 5,107,861,157.77/78,803.76
  6. Step 6: Final answer
    x = 64,817.48

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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.