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Finding the Fourth Proportional to 153,122.64, 211,322.16 and 85,144.56

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Solution

The fourth proportional to 153,122.64, 211,322.16 and 85,144.56 is: 117,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,122.64 : 211,322.16 = 85,144.56 : x
  2. Step 2: Convert to fraction form
    153,122.64/211,322.16 = 85,144.56/x
  3. Step 3: Cross multiply
    153,122.64x = 211,322.16 × 85,144.56
  4. Step 4: Simplify right side
    153,122.64x = 17,992,932,331.45
  5. Step 5: Solve for x
    x = 17,992,932,331.45/153,122.64
  6. Step 6: Final answer
    x = 117,506.68

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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.