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Finding the Fourth Proportional to 78,059.48, 107,723.04 and 47,423.84

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Solution

The fourth proportional to 78,059.48, 107,723.04 and 47,423.84 is: 65,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.48 : 107,723.04 = 47,423.84 : x
  2. Step 2: Convert to fraction form
    78,059.48/107,723.04 = 47,423.84/x
  3. Step 3: Cross multiply
    78,059.48x = 107,723.04 × 47,423.84
  4. Step 4: Simplify right side
    78,059.48x = 5,108,640,213.27
  5. Step 5: Solve for x
    x = 5,108,640,213.27/78,059.48
  6. Step 6: Final answer
    x = 65,445.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.