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Finding the Fourth Proportional to 205,761.60, 283,888.80 and 120,830.40

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Solution

The fourth proportional to 205,761.60, 283,888.80 and 120,830.40 is: 166,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,761.60 : 283,888.80 = 120,830.40 : x
  2. Step 2: Convert to fraction form
    205,761.60/283,888.80 = 120,830.40/x
  3. Step 3: Cross multiply
    205,761.60x = 283,888.80 × 120,830.40
  4. Step 4: Simplify right side
    205,761.60x = 34,302,397,259.52
  5. Step 5: Solve for x
    x = 34,302,397,259.52/205,761.60
  6. Step 6: Final answer
    x = 166,709.42

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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.