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Finding the Fourth Proportional to 153,190.64, 211,400.03 and 85,205.29

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Solution

The fourth proportional to 153,190.64, 211,400.03 and 85,205.29 is: 117,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.64 : 211,400.03 = 85,205.29 : x
  2. Step 2: Convert to fraction form
    153,190.64/211,400.03 = 85,205.29/x
  3. Step 3: Cross multiply
    153,190.64x = 211,400.03 × 85,205.29
  4. Step 4: Simplify right side
    153,190.64x = 18,012,400,092.53
  5. Step 5: Solve for x
    x = 18,012,400,092.53/153,190.64
  6. Step 6: Final answer
    x = 117,581.60

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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.