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Finding the Fourth Proportional to 85,643.62, 128,433.48 and 29,467.84

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Solution

The fourth proportional to 85,643.62, 128,433.48 and 29,467.84 is: 44,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,643.62 : 128,433.48 = 29,467.84 : x
  2. Step 2: Convert to fraction form
    85,643.62/128,433.48 = 29,467.84/x
  3. Step 3: Cross multiply
    85,643.62x = 128,433.48 × 29,467.84
  4. Step 4: Simplify right side
    85,643.62x = 3,784,657,239.28
  5. Step 5: Solve for x
    x = 3,784,657,239.28/85,643.62
  6. Step 6: Final answer
    x = 44,190.77

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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.