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Finding the Fourth Proportional to 105,936.70, 146,188.72 and 58,187.20

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Solution

The fourth proportional to 105,936.70, 146,188.72 and 58,187.20 is: 80,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,936.70 : 146,188.72 = 58,187.20 : x
  2. Step 2: Convert to fraction form
    105,936.70/146,188.72 = 58,187.20/x
  3. Step 3: Cross multiply
    105,936.70x = 146,188.72 × 58,187.20
  4. Step 4: Simplify right side
    105,936.70x = 8,506,312,288.38
  5. Step 5: Solve for x
    x = 8,506,312,288.38/105,936.70
  6. Step 6: Final answer
    x = 80,296.18

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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.