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Finding the Fourth Proportional to 76,401.09, 105,435.23 and 42,867.09

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Solution

The fourth proportional to 76,401.09, 105,435.23 and 42,867.09 is: 59,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401.09 : 105,435.23 = 42,867.09 : x
  2. Step 2: Convert to fraction form
    76,401.09/105,435.23 = 42,867.09/x
  3. Step 3: Cross multiply
    76,401.09x = 105,435.23 × 42,867.09
  4. Step 4: Simplify right side
    76,401.09x = 4,519,701,279.25
  5. Step 5: Solve for x
    x = 4,519,701,279.25/76,401.09
  6. Step 6: Final answer
    x = 59,157.55

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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.