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Finding the Fourth Proportional to 152,211.78, 210,062.78 and 84,231.63

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Solution

The fourth proportional to 152,211.78, 210,062.78 and 84,231.63 is: 116,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,211.78 : 210,062.78 = 84,231.63 : x
  2. Step 2: Convert to fraction form
    152,211.78/210,062.78 = 84,231.63/x
  3. Step 3: Cross multiply
    152,211.78x = 210,062.78 × 84,231.63
  4. Step 4: Simplify right side
    152,211.78x = 17,693,929,940.57
  5. Step 5: Solve for x
    x = 17,693,929,940.57/152,211.78
  6. Step 6: Final answer
    x = 116,245.47

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1.5x scale

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.