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Finding the Fourth Proportional to 152,987.94, 211,119.31 and 85,005.05

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Solution

The fourth proportional to 152,987.94, 211,119.31 and 85,005.05 is: 117,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,987.94 : 211,119.31 = 85,005.05 : x
  2. Step 2: Convert to fraction form
    152,987.94/211,119.31 = 85,005.05/x
  3. Step 3: Cross multiply
    152,987.94x = 211,119.31 × 85,005.05
  4. Step 4: Simplify right side
    152,987.94x = 17,946,206,553.18
  5. Step 5: Solve for x
    x = 17,946,206,553.18/152,987.94
  6. Step 6: Final answer
    x = 117,304.71

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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.