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Finding the Fourth Proportional to 85,909.64, 128,914.67 and 35,985.49

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Solution

The fourth proportional to 85,909.64, 128,914.67 and 35,985.49 is: 53,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909.64 : 128,914.67 = 35,985.49 : x
  2. Step 2: Convert to fraction form
    85,909.64/128,914.67 = 35,985.49/x
  3. Step 3: Cross multiply
    85,909.64x = 128,914.67 × 35,985.49
  4. Step 4: Simplify right side
    85,909.64x = 4,639,057,335.82
  5. Step 5: Solve for x
    x = 4,639,057,335.82/85,909.64
  6. Step 6: Final answer
    x = 53,999.27

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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.