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Finding the Fourth Proportional to 76,954.95, 106,199.49 and 42,499.58

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Solution

The fourth proportional to 76,954.95, 106,199.49 and 42,499.58 is: 58,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.95 : 106,199.49 = 42,499.58 : x
  2. Step 2: Convert to fraction form
    76,954.95/106,199.49 = 42,499.58/x
  3. Step 3: Cross multiply
    76,954.95x = 106,199.49 × 42,499.58
  4. Step 4: Simplify right side
    76,954.95x = 4,513,433,190.22
  5. Step 5: Solve for x
    x = 4,513,433,190.22/76,954.95
  6. Step 6: Final answer
    x = 58,650.33

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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.