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Finding the Fourth Proportional to 76,870.99, 106,012.89 and 48,193.78

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Solution

The fourth proportional to 76,870.99, 106,012.89 and 48,193.78 is: 66,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,870.99 : 106,012.89 = 48,193.78 : x
  2. Step 2: Convert to fraction form
    76,870.99/106,012.89 = 48,193.78/x
  3. Step 3: Cross multiply
    76,870.99x = 106,012.89 × 48,193.78
  4. Step 4: Simplify right side
    76,870.99x = 5,109,161,632.79
  5. Step 5: Solve for x
    x = 5,109,161,632.79/76,870.99
  6. Step 6: Final answer
    x = 66,464.11

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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.