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Finding the Fourth Proportional to 188,543.56, 260,152.81 and 105,760.21

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Solution

The fourth proportional to 188,543.56, 260,152.81 and 105,760.21 is: 145,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,543.56 : 260,152.81 = 105,760.21 : x
  2. Step 2: Convert to fraction form
    188,543.56/260,152.81 = 105,760.21/x
  3. Step 3: Cross multiply
    188,543.56x = 260,152.81 × 105,760.21
  4. Step 4: Simplify right side
    188,543.56x = 27,513,815,288.89
  5. Step 5: Solve for x
    x = 27,513,815,288.89/188,543.56
  6. Step 6: Final answer
    x = 145,928.16

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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.