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Finding the Fourth Proportional to 105,995, 146,126.92 and 84,557.48

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Solution

The fourth proportional to 105,995, 146,126.92 and 84,557.48 is: 116,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,995 : 146,126.92 = 84,557.48 : x
  2. Step 2: Convert to fraction form
    105,995/146,126.92 = 84,557.48/x
  3. Step 3: Cross multiply
    105,995x = 146,126.92 × 84,557.48
  4. Step 4: Simplify right side
    105,995x = 12,356,124,115.36
  5. Step 5: Solve for x
    x = 12,356,124,115.36/105,995
  6. Step 6: Final answer
    x = 116,572.71

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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.