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Finding the Fourth Proportional to 162,121.42, 243,222.90 and 114,829.12

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Solution

The fourth proportional to 162,121.42, 243,222.90 and 114,829.12 is: 172,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,121.42 : 243,222.90 = 114,829.12 : x
  2. Step 2: Convert to fraction form
    162,121.42/243,222.90 = 114,829.12/x
  3. Step 3: Cross multiply
    162,121.42x = 243,222.90 × 114,829.12
  4. Step 4: Simplify right side
    162,121.42x = 27,929,071,570.85
  5. Step 5: Solve for x
    x = 27,929,071,570.85/162,121.42
  6. Step 6: Final answer
    x = 172,272.56

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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.