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Finding the Fourth Proportional to 153,015.91, 211,167.27 and 85,035.75

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Solution

The fourth proportional to 153,015.91, 211,167.27 and 85,035.75 is: 117,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,015.91 : 211,167.27 = 85,035.75 : x
  2. Step 2: Convert to fraction form
    153,015.91/211,167.27 = 85,035.75/x
  3. Step 3: Cross multiply
    153,015.91x = 211,167.27 × 85,035.75
  4. Step 4: Simplify right side
    153,015.91x = 17,956,766,069.14
  5. Step 5: Solve for x
    x = 17,956,766,069.14/153,015.91
  6. Step 6: Final answer
    x = 117,352.28

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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.