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Finding the Fourth Proportional to 78,007, 107,605.92 and 47,806.96

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Solution

The fourth proportional to 78,007, 107,605.92 and 47,806.96 is: 65,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007 : 107,605.92 = 47,806.96 : x
  2. Step 2: Convert to fraction form
    78,007/107,605.92 = 47,806.96/x
  3. Step 3: Cross multiply
    78,007x = 107,605.92 × 47,806.96
  4. Step 4: Simplify right side
    78,007x = 5,144,311,913.20
  5. Step 5: Solve for x
    x = 5,144,311,913.20/78,007
  6. Step 6: Final answer
    x = 65,946.80

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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.