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Finding the Fourth Proportional to 210,120, 289,965.60 and 114,627.08

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Solution

The fourth proportional to 210,120, 289,965.60 and 114,627.08 is: 158,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120 : 289,965.60 = 114,627.08 : x
  2. Step 2: Convert to fraction form
    210,120/289,965.60 = 114,627.08/x
  3. Step 3: Cross multiply
    210,120x = 289,965.60 × 114,627.08
  4. Step 4: Simplify right side
    210,120x = 33,237,910,028.45
  5. Step 5: Solve for x
    x = 33,237,910,028.45/210,120
  6. Step 6: Final answer
    x = 158,185.37

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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.