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Finding the Fourth Proportional to 85,848.12, 128,748.96 and 35,918

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Solution

The fourth proportional to 85,848.12, 128,748.96 and 35,918 is: 53,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848.12 : 128,748.96 = 35,918 : x
  2. Step 2: Convert to fraction form
    85,848.12/128,748.96 = 35,918/x
  3. Step 3: Cross multiply
    85,848.12x = 128,748.96 × 35,918
  4. Step 4: Simplify right side
    85,848.12x = 4,624,405,145.28
  5. Step 5: Solve for x
    x = 4,624,405,145.28/85,848.12
  6. Step 6: Final answer
    x = 53,867.28

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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.