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Finding the Fourth Proportional to 76,161.96, 105,070.41 and 45,930.48

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Solution

The fourth proportional to 76,161.96, 105,070.41 and 45,930.48 is: 63,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,161.96 : 105,070.41 = 45,930.48 : x
  2. Step 2: Convert to fraction form
    76,161.96/105,070.41 = 45,930.48/x
  3. Step 3: Cross multiply
    76,161.96x = 105,070.41 × 45,930.48
  4. Step 4: Simplify right side
    76,161.96x = 4,825,934,365.10
  5. Step 5: Solve for x
    x = 4,825,934,365.10/76,161.96
  6. Step 6: Final answer
    x = 63,364.10

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1.5x scale

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.