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Finding the Fourth Proportional to 103,611.92, 142,364.82 and 82,354.28

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Solution

The fourth proportional to 103,611.92, 142,364.82 and 82,354.28 is: 113,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611.92 : 142,364.82 = 82,354.28 : x
  2. Step 2: Convert to fraction form
    103,611.92/142,364.82 = 82,354.28/x
  3. Step 3: Cross multiply
    103,611.92x = 142,364.82 × 82,354.28
  4. Step 4: Simplify right side
    103,611.92x = 11,724,352,248.43
  5. Step 5: Solve for x
    x = 11,724,352,248.43/103,611.92
  6. Step 6: Final answer
    x = 113,156.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.