Home / 205,809.64-283,898.34-120,909.16

Finding the Fourth Proportional to 205,809.64, 283,898.34 and 120,909.16

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Solution

The fourth proportional to 205,809.64, 283,898.34 and 120,909.16 is: 166,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.64 : 283,898.34 = 120,909.16 : x
  2. Step 2: Convert to fraction form
    205,809.64/283,898.34 = 120,909.16/x
  3. Step 3: Cross multiply
    205,809.64x = 283,898.34 × 120,909.16
  4. Step 4: Simplify right side
    205,809.64x = 34,325,909,814.79
  5. Step 5: Solve for x
    x = 34,325,909,814.79/205,809.64
  6. Step 6: Final answer
    x = 166,784.75

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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.