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Finding the Fourth Proportional to 230,080.80, 345,121.20 and 171,031.80

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Solution

The fourth proportional to 230,080.80, 345,121.20 and 171,031.80 is: 256,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,080.80 : 345,121.20 = 171,031.80 : x
  2. Step 2: Convert to fraction form
    230,080.80/345,121.20 = 171,031.80/x
  3. Step 3: Cross multiply
    230,080.80x = 345,121.20 × 171,031.80
  4. Step 4: Simplify right side
    230,080.80x = 59,026,700,054.16
  5. Step 5: Solve for x
    x = 59,026,700,054.16/230,080.80
  6. Step 6: Final answer
    x = 256,547.70

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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.