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Finding the Fourth Proportional to 119,085.54, 178,671.93 and 85,843.14

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Solution

The fourth proportional to 119,085.54, 178,671.93 and 85,843.14 is: 128,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.54 : 178,671.93 = 85,843.14 : x
  2. Step 2: Convert to fraction form
    119,085.54/178,671.93 = 85,843.14/x
  3. Step 3: Cross multiply
    119,085.54x = 178,671.93 × 85,843.14
  4. Step 4: Simplify right side
    119,085.54x = 15,337,759,501.06
  5. Step 5: Solve for x
    x = 15,337,759,501.06/119,085.54
  6. Step 6: Final answer
    x = 128,796.15

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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.