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Finding the Fourth Proportional to 137,894.78, 190,288.77 and 84,269.54

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Solution

The fourth proportional to 137,894.78, 190,288.77 and 84,269.54 is: 116,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.78 : 190,288.77 = 84,269.54 : x
  2. Step 2: Convert to fraction form
    137,894.78/190,288.77 = 84,269.54/x
  3. Step 3: Cross multiply
    137,894.78x = 190,288.77 × 84,269.54
  4. Step 4: Simplify right side
    137,894.78x = 16,035,547,115.07
  5. Step 5: Solve for x
    x = 16,035,547,115.07/137,894.78
  6. Step 6: Final answer
    x = 116,288.28

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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.