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Finding the Fourth Proportional to 252,113.40, 378,170.10 and 111,886.20

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Solution

The fourth proportional to 252,113.40, 378,170.10 and 111,886.20 is: 167,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,113.40 : 378,170.10 = 111,886.20 : x
  2. Step 2: Convert to fraction form
    252,113.40/378,170.10 = 111,886.20/x
  3. Step 3: Cross multiply
    252,113.40x = 378,170.10 × 111,886.20
  4. Step 4: Simplify right side
    252,113.40x = 42,312,015,442.62
  5. Step 5: Solve for x
    x = 42,312,015,442.62/252,113.40
  6. Step 6: Final answer
    x = 167,829.30

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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.