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Finding the Fourth Proportional to 234,637.97, 351,981.65 and 76,878.72

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Solution

The fourth proportional to 234,637.97, 351,981.65 and 76,878.72 is: 115,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,637.97 : 351,981.65 = 76,878.72 : x
  2. Step 2: Convert to fraction form
    234,637.97/351,981.65 = 76,878.72/x
  3. Step 3: Cross multiply
    234,637.97x = 351,981.65 × 76,878.72
  4. Step 4: Simplify right side
    234,637.97x = 27,059,898,907.68
  5. Step 5: Solve for x
    x = 27,059,898,907.68/234,637.97
  6. Step 6: Final answer
    x = 115,326.17

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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.