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Finding the Fourth Proportional to 76,203.94, 105,161.42 and 42,214.63

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Solution

The fourth proportional to 76,203.94, 105,161.42 and 42,214.63 is: 58,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.94 : 105,161.42 = 42,214.63 : x
  2. Step 2: Convert to fraction form
    76,203.94/105,161.42 = 42,214.63/x
  3. Step 3: Cross multiply
    76,203.94x = 105,161.42 × 42,214.63
  4. Step 4: Simplify right side
    76,203.94x = 4,439,350,179.62
  5. Step 5: Solve for x
    x = 4,439,350,179.62/76,203.94
  6. Step 6: Final answer
    x = 58,256.18

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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.