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Finding the Fourth Proportional to 76,799.44, 105,980.70 and 42,806.44

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Solution

The fourth proportional to 76,799.44, 105,980.70 and 42,806.44 is: 59,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,799.44 : 105,980.70 = 42,806.44 : x
  2. Step 2: Convert to fraction form
    76,799.44/105,980.70 = 42,806.44/x
  3. Step 3: Cross multiply
    76,799.44x = 105,980.70 × 42,806.44
  4. Step 4: Simplify right side
    76,799.44x = 4,536,656,475.71
  5. Step 5: Solve for x
    x = 4,536,656,475.71/76,799.44
  6. Step 6: Final answer
    x = 59,071.48

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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.