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Finding the Fourth Proportional to 153,164.98, 211,355.42 and 85,182.08

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Solution

The fourth proportional to 153,164.98, 211,355.42 and 85,182.08 is: 117,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,164.98 : 211,355.42 = 85,182.08 : x
  2. Step 2: Convert to fraction form
    153,164.98/211,355.42 = 85,182.08/x
  3. Step 3: Cross multiply
    153,164.98x = 211,355.42 × 85,182.08
  4. Step 4: Simplify right side
    153,164.98x = 18,003,693,868.96
  5. Step 5: Solve for x
    x = 18,003,693,868.96/153,164.98
  6. Step 6: Final answer
    x = 117,544.46

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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.