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Finding the Fourth Proportional to 78,419.54, 108,219.40 and 42,609.84

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Solution

The fourth proportional to 78,419.54, 108,219.40 and 42,609.84 is: 58,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.54 : 108,219.40 = 42,609.84 : x
  2. Step 2: Convert to fraction form
    78,419.54/108,219.40 = 42,609.84/x
  3. Step 3: Cross multiply
    78,419.54x = 108,219.40 × 42,609.84
  4. Step 4: Simplify right side
    78,419.54x = 4,611,211,212.37
  5. Step 5: Solve for x
    x = 4,611,211,212.37/78,419.54
  6. Step 6: Final answer
    x = 58,801.82

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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.