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Finding the Fourth Proportional to 76,613.26, 105,723.81 and 42,620.80

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Solution

The fourth proportional to 76,613.26, 105,723.81 and 42,620.80 is: 58,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,613.26 : 105,723.81 = 42,620.80 : x
  2. Step 2: Convert to fraction form
    76,613.26/105,723.81 = 42,620.80/x
  3. Step 3: Cross multiply
    76,613.26x = 105,723.81 × 42,620.80
  4. Step 4: Simplify right side
    76,613.26x = 4,506,033,361.25
  5. Step 5: Solve for x
    x = 4,506,033,361.25/76,613.26
  6. Step 6: Final answer
    x = 58,815.32

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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.