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Finding the Fourth Proportional to 206,164.31, 309,030.66 and 86,289.98

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Solution

The fourth proportional to 206,164.31, 309,030.66 and 86,289.98 is: 129,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,164.31 : 309,030.66 = 86,289.98 : x
  2. Step 2: Convert to fraction form
    206,164.31/309,030.66 = 86,289.98/x
  3. Step 3: Cross multiply
    206,164.31x = 309,030.66 × 86,289.98
  4. Step 4: Simplify right side
    206,164.31x = 26,666,247,925.63
  5. Step 5: Solve for x
    x = 26,666,247,925.63/206,164.31
  6. Step 6: Final answer
    x = 129,344.64

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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.