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Finding the Fourth Proportional to 152,976.74, 211,141.62 and 85,017.06

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Solution

The fourth proportional to 152,976.74, 211,141.62 and 85,017.06 is: 117,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,976.74 : 211,141.62 = 85,017.06 : x
  2. Step 2: Convert to fraction form
    152,976.74/211,141.62 = 85,017.06/x
  3. Step 3: Cross multiply
    152,976.74x = 211,141.62 × 85,017.06
  4. Step 4: Simplify right side
    152,976.74x = 17,950,639,776.04
  5. Step 5: Solve for x
    x = 17,950,639,776.04/152,976.74
  6. Step 6: Final answer
    x = 117,342.29

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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.