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Finding the Fourth Proportional to 85,497, 128,270.34 and 35,567.88

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Solution

The fourth proportional to 85,497, 128,270.34 and 35,567.88 is: 53,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497 : 128,270.34 = 35,567.88 : x
  2. Step 2: Convert to fraction form
    85,497/128,270.34 = 35,567.88/x
  3. Step 3: Cross multiply
    85,497x = 128,270.34 × 35,567.88
  4. Step 4: Simplify right side
    85,497x = 4,562,304,060.68
  5. Step 5: Solve for x
    x = 4,562,304,060.68/85,497
  6. Step 6: Final answer
    x = 53,362.15

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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.