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Finding the Fourth Proportional to 152,957.82, 211,074.66 and 84,979.20

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Solution

The fourth proportional to 152,957.82, 211,074.66 and 84,979.20 is: 117,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,957.82 : 211,074.66 = 84,979.20 : x
  2. Step 2: Convert to fraction form
    152,957.82/211,074.66 = 84,979.20/x
  3. Step 3: Cross multiply
    152,957.82x = 211,074.66 × 84,979.20
  4. Step 4: Simplify right side
    152,957.82x = 17,936,955,747.07
  5. Step 5: Solve for x
    x = 17,936,955,747.07/152,957.82
  6. Step 6: Final answer
    x = 117,267.33

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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.