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Finding the Fourth Proportional to 107,128.36, 160,627.72 and 47,953

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Solution

The fourth proportional to 107,128.36, 160,627.72 and 47,953 is: 71,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,128.36 : 160,627.72 = 47,953 : x
  2. Step 2: Convert to fraction form
    107,128.36/160,627.72 = 47,953/x
  3. Step 3: Cross multiply
    107,128.36x = 160,627.72 × 47,953
  4. Step 4: Simplify right side
    107,128.36x = 7,702,581,057.16
  5. Step 5: Solve for x
    x = 7,702,581,057.16/107,128.36
  6. Step 6: Final answer
    x = 71,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.