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Finding the Fourth Proportional to 210,734.31, 316,101.77 and 86,075.31

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Solution

The fourth proportional to 210,734.31, 316,101.77 and 86,075.31 is: 129,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,734.31 : 316,101.77 = 86,075.31 : x
  2. Step 2: Convert to fraction form
    210,734.31/316,101.77 = 86,075.31/x
  3. Step 3: Cross multiply
    210,734.31x = 316,101.77 × 86,075.31
  4. Step 4: Simplify right side
    210,734.31x = 27,208,557,844.30
  5. Step 5: Solve for x
    x = 27,208,557,844.30/210,734.31
  6. Step 6: Final answer
    x = 129,113.09

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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.