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Finding the Fourth Proportional to 262,988.90, 362,926.34 and 142,129.90

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Solution

The fourth proportional to 262,988.90, 362,926.34 and 142,129.90 is: 196,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988.90 : 362,926.34 = 142,129.90 : x
  2. Step 2: Convert to fraction form
    262,988.90/362,926.34 = 142,129.90/x
  3. Step 3: Cross multiply
    262,988.90x = 362,926.34 × 142,129.90
  4. Step 4: Simplify right side
    262,988.90x = 51,582,684,687.56
  5. Step 5: Solve for x
    x = 51,582,684,687.56/262,988.90
  6. Step 6: Final answer
    x = 196,140.16

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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.