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Finding the Fourth Proportional to 152,956.87, 211,057.09 and 84,967.60

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Solution

The fourth proportional to 152,956.87, 211,057.09 and 84,967.60 is: 117,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.87 : 211,057.09 = 84,967.60 : x
  2. Step 2: Convert to fraction form
    152,956.87/211,057.09 = 84,967.60/x
  3. Step 3: Cross multiply
    152,956.87x = 211,057.09 × 84,967.60
  4. Step 4: Simplify right side
    152,956.87x = 17,933,014,533.90
  5. Step 5: Solve for x
    x = 17,933,014,533.90/152,956.87
  6. Step 6: Final answer
    x = 117,242.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.