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Finding the Fourth Proportional to 100,586.72, 138,812.16 and 56,975.68

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Solution

The fourth proportional to 100,586.72, 138,812.16 and 56,975.68 is: 78,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.72 : 138,812.16 = 56,975.68 : x
  2. Step 2: Convert to fraction form
    100,586.72/138,812.16 = 56,975.68/x
  3. Step 3: Cross multiply
    100,586.72x = 138,812.16 × 56,975.68
  4. Step 4: Simplify right side
    100,586.72x = 7,908,917,208.27
  5. Step 5: Solve for x
    x = 7,908,917,208.27/100,586.72
  6. Step 6: Final answer
    x = 78,627.85

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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.