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Finding the Fourth Proportional to 78,100.32, 107,789.04 and 47,903.52

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Solution

The fourth proportional to 78,100.32, 107,789.04 and 47,903.52 is: 66,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100.32 : 107,789.04 = 47,903.52 : x
  2. Step 2: Convert to fraction form
    78,100.32/107,789.04 = 47,903.52/x
  3. Step 3: Cross multiply
    78,100.32x = 107,789.04 × 47,903.52
  4. Step 4: Simplify right side
    78,100.32x = 5,163,474,433.42
  5. Step 5: Solve for x
    x = 5,163,474,433.42/78,100.32
  6. Step 6: Final answer
    x = 66,113.36

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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.