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Finding the Fourth Proportional to 204,894, 282,755.88 and 115,470

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Solution

The fourth proportional to 204,894, 282,755.88 and 115,470 is: 159,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894 : 282,755.88 = 115,470 : x
  2. Step 2: Convert to fraction form
    204,894/282,755.88 = 115,470/x
  3. Step 3: Cross multiply
    204,894x = 282,755.88 × 115,470
  4. Step 4: Simplify right side
    204,894x = 32,649,821,463.60
  5. Step 5: Solve for x
    x = 32,649,821,463.60/204,894
  6. Step 6: Final answer
    x = 159,349.82

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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.