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Finding the Fourth Proportional to 78,007.96, 107,651.50 and 47,793.34

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Solution

The fourth proportional to 78,007.96, 107,651.50 and 47,793.34 is: 65,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007.96 : 107,651.50 = 47,793.34 : x
  2. Step 2: Convert to fraction form
    78,007.96/107,651.50 = 47,793.34/x
  3. Step 3: Cross multiply
    78,007.96x = 107,651.50 × 47,793.34
  4. Step 4: Simplify right side
    78,007.96x = 5,145,024,322.24
  5. Step 5: Solve for x
    x = 5,145,024,322.24/78,007.96
  6. Step 6: Final answer
    x = 65,955.12

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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.