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Finding the Fourth Proportional to 206,643.68, 285,156.40 and 115,991.20

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Solution

The fourth proportional to 206,643.68, 285,156.40 and 115,991.20 is: 160,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.68 : 285,156.40 = 115,991.20 : x
  2. Step 2: Convert to fraction form
    206,643.68/285,156.40 = 115,991.20/x
  3. Step 3: Cross multiply
    206,643.68x = 285,156.40 × 115,991.20
  4. Step 4: Simplify right side
    206,643.68x = 33,075,633,023.68
  5. Step 5: Solve for x
    x = 33,075,633,023.68/206,643.68
  6. Step 6: Final answer
    x = 160,061.19

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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.