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Finding the Fourth Proportional to 85,385.63, 128,094.84 and 38,638.50

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Solution

The fourth proportional to 85,385.63, 128,094.84 and 38,638.50 is: 57,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,385.63 : 128,094.84 = 38,638.50 : x
  2. Step 2: Convert to fraction form
    85,385.63/128,094.84 = 38,638.50/x
  3. Step 3: Cross multiply
    85,385.63x = 128,094.84 × 38,638.50
  4. Step 4: Simplify right side
    85,385.63x = 4,949,392,475.34
  5. Step 5: Solve for x
    x = 4,949,392,475.34/85,385.63
  6. Step 6: Final answer
    x = 57,965.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.