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Finding the Fourth Proportional to 85,907.90, 128,643.15 and 81,971.30

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Solution

The fourth proportional to 85,907.90, 128,643.15 and 81,971.30 is: 122,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,907.90 : 128,643.15 = 81,971.30 : x
  2. Step 2: Convert to fraction form
    85,907.90/128,643.15 = 81,971.30/x
  3. Step 3: Cross multiply
    85,907.90x = 128,643.15 × 81,971.30
  4. Step 4: Simplify right side
    85,907.90x = 10,545,046,241.60
  5. Step 5: Solve for x
    x = 10,545,046,241.60/85,907.90
  6. Step 6: Final answer
    x = 122,748.27

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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.