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Finding the Fourth Proportional to 216,438.20, 298,725.80 and 142,720.88

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Solution

The fourth proportional to 216,438.20, 298,725.80 and 142,720.88 is: 196,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.20 : 298,725.80 = 142,720.88 : x
  2. Step 2: Convert to fraction form
    216,438.20/298,725.80 = 142,720.88/x
  3. Step 3: Cross multiply
    216,438.20x = 298,725.80 × 142,720.88
  4. Step 4: Simplify right side
    216,438.20x = 42,634,406,847.47
  5. Step 5: Solve for x
    x = 42,634,406,847.47/216,438.20
  6. Step 6: Final answer
    x = 196,981.90

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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.