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Finding the Fourth Proportional to 105,608.76, 145,740.06 and 57,863.92

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Solution

The fourth proportional to 105,608.76, 145,740.06 and 57,863.92 is: 79,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,608.76 : 145,740.06 = 57,863.92 : x
  2. Step 2: Convert to fraction form
    105,608.76/145,740.06 = 57,863.92/x
  3. Step 3: Cross multiply
    105,608.76x = 145,740.06 × 57,863.92
  4. Step 4: Simplify right side
    105,608.76x = 8,433,091,172.64
  5. Step 5: Solve for x
    x = 8,433,091,172.64/105,608.76
  6. Step 6: Final answer
    x = 79,852.19

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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.