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Finding the Fourth Proportional to 146,014.40, 218,978.40 and 57,216.80

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Solution

The fourth proportional to 146,014.40, 218,978.40 and 57,216.80 is: 85,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014.40 : 218,978.40 = 57,216.80 : x
  2. Step 2: Convert to fraction form
    146,014.40/218,978.40 = 57,216.80/x
  3. Step 3: Cross multiply
    146,014.40x = 218,978.40 × 57,216.80
  4. Step 4: Simplify right side
    146,014.40x = 12,529,243,317.12
  5. Step 5: Solve for x
    x = 12,529,243,317.12/146,014.40
  6. Step 6: Final answer
    x = 85,808.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.