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Finding the Fourth Proportional to 206,646.84, 285,099.30 and 135,068.19

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Solution

The fourth proportional to 206,646.84, 285,099.30 and 135,068.19 is: 186,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.84 : 285,099.30 = 135,068.19 : x
  2. Step 2: Convert to fraction form
    206,646.84/285,099.30 = 135,068.19/x
  3. Step 3: Cross multiply
    206,646.84x = 285,099.30 × 135,068.19
  4. Step 4: Simplify right side
    206,646.84x = 38,507,846,421.27
  5. Step 5: Solve for x
    x = 38,507,846,421.27/206,646.84
  6. Step 6: Final answer
    x = 186,346.17

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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.