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Finding the Fourth Proportional to 210,091.20, 289,915.20 and 114,597.12

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Solution

The fourth proportional to 210,091.20, 289,915.20 and 114,597.12 is: 158,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,091.20 : 289,915.20 = 114,597.12 : x
  2. Step 2: Convert to fraction form
    210,091.20/289,915.20 = 114,597.12/x
  3. Step 3: Cross multiply
    210,091.20x = 289,915.20 × 114,597.12
  4. Step 4: Simplify right side
    210,091.20x = 33,223,446,964.22
  5. Step 5: Solve for x
    x = 33,223,446,964.22/210,091.20
  6. Step 6: Final answer
    x = 158,138.21

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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.