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Finding the Fourth Proportional to 105,891.80, 146,131.70 and 58,146.17

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Solution

The fourth proportional to 105,891.80, 146,131.70 and 58,146.17 is: 80,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.80 : 146,131.70 = 58,146.17 : x
  2. Step 2: Convert to fraction form
    105,891.80/146,131.70 = 58,146.17/x
  3. Step 3: Cross multiply
    105,891.80x = 146,131.70 × 58,146.17
  4. Step 4: Simplify right side
    105,891.80x = 8,496,999,181.28
  5. Step 5: Solve for x
    x = 8,496,999,181.28/105,891.80
  6. Step 6: Final answer
    x = 80,242.28

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1.5x scale

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.