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Finding the Fourth Proportional to 223,985.70, 309,100.68 and 133,344.80

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Solution

The fourth proportional to 223,985.70, 309,100.68 and 133,344.80 is: 184,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,985.70 : 309,100.68 = 133,344.80 : x
  2. Step 2: Convert to fraction form
    223,985.70/309,100.68 = 133,344.80/x
  3. Step 3: Cross multiply
    223,985.70x = 309,100.68 × 133,344.80
  4. Step 4: Simplify right side
    223,985.70x = 41,216,966,808.96
  5. Step 5: Solve for x
    x = 41,216,966,808.96/223,985.70
  6. Step 6: Final answer
    x = 184,016.06

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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.