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Finding the Fourth Proportional to 281,051.64, 387,841.44 and 160,231.86

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Solution

The fourth proportional to 281,051.64, 387,841.44 and 160,231.86 is: 221,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.64 : 387,841.44 = 160,231.86 : x
  2. Step 2: Convert to fraction form
    281,051.64/387,841.44 = 160,231.86/x
  3. Step 3: Cross multiply
    281,051.64x = 387,841.44 × 160,231.86
  4. Step 4: Simplify right side
    281,051.64x = 62,144,555,316.28
  5. Step 5: Solve for x
    x = 62,144,555,316.28/281,051.64
  6. Step 6: Final answer
    x = 221,114.37

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1.5x scale

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.