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Finding the Fourth Proportional to 78,409.94, 108,205.80 and 42,599.94

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Solution

The fourth proportional to 78,409.94, 108,205.80 and 42,599.94 is: 58,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.94 : 108,205.80 = 42,599.94 : x
  2. Step 2: Convert to fraction form
    78,409.94/108,205.80 = 42,599.94/x
  3. Step 3: Cross multiply
    78,409.94x = 108,205.80 × 42,599.94
  4. Step 4: Simplify right side
    78,409.94x = 4,609,560,587.65
  5. Step 5: Solve for x
    x = 4,609,560,587.65/78,409.94
  6. Step 6: Final answer
    x = 58,787.96

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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.