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Finding the Fourth Proportional to 105,601.16, 145,869.36 and 78,696.96

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Solution

The fourth proportional to 105,601.16, 145,869.36 and 78,696.96 is: 108,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,601.16 : 145,869.36 = 78,696.96 : x
  2. Step 2: Convert to fraction form
    105,601.16/145,869.36 = 78,696.96/x
  3. Step 3: Cross multiply
    105,601.16x = 145,869.36 × 78,696.96
  4. Step 4: Simplify right side
    105,601.16x = 11,479,475,441.04
  5. Step 5: Solve for x
    x = 11,479,475,441.04/105,601.16
  6. Step 6: Final answer
    x = 108,705.96

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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.