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Finding the Fourth Proportional to 76,842.80, 106,043.53 and 42,853.44

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Solution

The fourth proportional to 76,842.80, 106,043.53 and 42,853.44 is: 59,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.80 : 106,043.53 = 42,853.44 : x
  2. Step 2: Convert to fraction form
    76,842.80/106,043.53 = 42,853.44/x
  3. Step 3: Cross multiply
    76,842.80x = 106,043.53 × 42,853.44
  4. Step 4: Simplify right side
    76,842.80x = 4,544,330,050.24
  5. Step 5: Solve for x
    x = 4,544,330,050.24/76,842.80
  6. Step 6: Final answer
    x = 59,138.01

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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.