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Finding the Fourth Proportional to 152,145.20, 228,217.80 and 142,230.80

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Solution

The fourth proportional to 152,145.20, 228,217.80 and 142,230.80 is: 213,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,145.20 : 228,217.80 = 142,230.80 : x
  2. Step 2: Convert to fraction form
    152,145.20/228,217.80 = 142,230.80/x
  3. Step 3: Cross multiply
    152,145.20x = 228,217.80 × 142,230.80
  4. Step 4: Simplify right side
    152,145.20x = 32,459,600,268.24
  5. Step 5: Solve for x
    x = 32,459,600,268.24/152,145.20
  6. Step 6: Final answer
    x = 213,346.20

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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.