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Finding the Fourth Proportional to 210,733.31, 316,100.27 and 86,074.31

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Solution

The fourth proportional to 210,733.31, 316,100.27 and 86,074.31 is: 129,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,733.31 : 316,100.27 = 86,074.31 : x
  2. Step 2: Convert to fraction form
    210,733.31/316,100.27 = 86,074.31/x
  3. Step 3: Cross multiply
    210,733.31x = 316,100.27 × 86,074.31
  4. Step 4: Simplify right side
    210,733.31x = 27,208,113,636.50
  5. Step 5: Solve for x
    x = 27,208,113,636.50/210,733.31
  6. Step 6: Final answer
    x = 129,111.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.