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Finding the Fourth Proportional to 285,714.83, 428,657.90 and 86,041.73

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Solution

The fourth proportional to 285,714.83, 428,657.90 and 86,041.73 is: 129,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714.83 : 428,657.90 = 86,041.73 : x
  2. Step 2: Convert to fraction form
    285,714.83/428,657.90 = 86,041.73/x
  3. Step 3: Cross multiply
    285,714.83x = 428,657.90 × 86,041.73
  4. Step 4: Simplify right side
    285,714.83x = 36,882,464,720.67
  5. Step 5: Solve for x
    x = 36,882,464,720.67/285,714.83
  6. Step 6: Final answer
    x = 129,088.38

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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.