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Finding the Fourth Proportional to 268,051.76, 402,066.50 and 68,377.04

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Solution

The fourth proportional to 268,051.76, 402,066.50 and 68,377.04 is: 102,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,051.76 : 402,066.50 = 68,377.04 : x
  2. Step 2: Convert to fraction form
    268,051.76/402,066.50 = 68,377.04/x
  3. Step 3: Cross multiply
    268,051.76x = 402,066.50 × 68,377.04
  4. Step 4: Simplify right side
    268,051.76x = 27,492,114,800.94
  5. Step 5: Solve for x
    x = 27,492,114,800.94/268,051.76
  6. Step 6: Final answer
    x = 102,562.71

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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.