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Finding the Fourth Proportional to 78,193.85, 107,907.60 and 42,383.84

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Solution

The fourth proportional to 78,193.85, 107,907.60 and 42,383.84 is: 58,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.85 : 107,907.60 = 42,383.84 : x
  2. Step 2: Convert to fraction form
    78,193.85/107,907.60 = 42,383.84/x
  3. Step 3: Cross multiply
    78,193.85x = 107,907.60 × 42,383.84
  4. Step 4: Simplify right side
    78,193.85x = 4,573,537,913.65
  5. Step 5: Solve for x
    x = 4,573,537,913.65/78,193.85
  6. Step 6: Final answer
    x = 58,489.74

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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.