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Finding the Fourth Proportional to 186,767.96, 280,022.34 and 68,423

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Solution

The fourth proportional to 186,767.96, 280,022.34 and 68,423 is: 102,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,767.96 : 280,022.34 = 68,423 : x
  2. Step 2: Convert to fraction form
    186,767.96/280,022.34 = 68,423/x
  3. Step 3: Cross multiply
    186,767.96x = 280,022.34 × 68,423
  4. Step 4: Simplify right side
    186,767.96x = 19,159,968,569.82
  5. Step 5: Solve for x
    x = 19,159,968,569.82/186,767.96
  6. Step 6: Final answer
    x = 102,587.02

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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.