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Finding the Fourth Proportional to 153,458.16, 211,771.74 and 85,471.14

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Solution

The fourth proportional to 153,458.16, 211,771.74 and 85,471.14 is: 117,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,458.16 : 211,771.74 = 85,471.14 : x
  2. Step 2: Convert to fraction form
    153,458.16/211,771.74 = 85,471.14/x
  3. Step 3: Cross multiply
    153,458.16x = 211,771.74 × 85,471.14
  4. Step 4: Simplify right side
    153,458.16x = 18,100,372,037.58
  5. Step 5: Solve for x
    x = 18,100,372,037.58/153,458.16
  6. Step 6: Final answer
    x = 117,949.88

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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.