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Finding the Fourth Proportional to 126,685.92, 174,829.77 and 76,388.16

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Solution

The fourth proportional to 126,685.92, 174,829.77 and 76,388.16 is: 105,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,685.92 : 174,829.77 = 76,388.16 : x
  2. Step 2: Convert to fraction form
    126,685.92/174,829.77 = 76,388.16/x
  3. Step 3: Cross multiply
    126,685.92x = 174,829.77 × 76,388.16
  4. Step 4: Simplify right side
    126,685.92x = 13,354,924,443.52
  5. Step 5: Solve for x
    x = 13,354,924,443.52/126,685.92
  6. Step 6: Final answer
    x = 105,417.59

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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.