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Finding the Fourth Proportional to 78,197.70, 107,912.94 and 42,387.68

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Solution

The fourth proportional to 78,197.70, 107,912.94 and 42,387.68 is: 58,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.70 : 107,912.94 = 42,387.68 : x
  2. Step 2: Convert to fraction form
    78,197.70/107,912.94 = 42,387.68/x
  3. Step 3: Cross multiply
    78,197.70x = 107,912.94 × 42,387.68
  4. Step 4: Simplify right side
    78,197.70x = 4,574,179,168.58
  5. Step 5: Solve for x
    x = 4,574,179,168.58/78,197.70
  6. Step 6: Final answer
    x = 58,495.06

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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.