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Finding the Fourth Proportional to 228,230.85, 314,982.12 and 131,437.88

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Solution

The fourth proportional to 228,230.85, 314,982.12 and 131,437.88 is: 181,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230.85 : 314,982.12 = 131,437.88 : x
  2. Step 2: Convert to fraction form
    228,230.85/314,982.12 = 131,437.88/x
  3. Step 3: Cross multiply
    228,230.85x = 314,982.12 × 131,437.88
  4. Step 4: Simplify right side
    228,230.85x = 41,400,582,090.71
  5. Step 5: Solve for x
    x = 41,400,582,090.71/228,230.85
  6. Step 6: Final answer
    x = 181,397.84

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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.