Home / 254,196-381,217.20-76,688.16

Finding the Fourth Proportional to 254,196, 381,217.20 and 76,688.16

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Solution

The fourth proportional to 254,196, 381,217.20 and 76,688.16 is: 115,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,196 : 381,217.20 = 76,688.16 : x
  2. Step 2: Convert to fraction form
    254,196/381,217.20 = 76,688.16/x
  3. Step 3: Cross multiply
    254,196x = 381,217.20 × 76,688.16
  4. Step 4: Simplify right side
    254,196x = 29,234,845,628.35
  5. Step 5: Solve for x
    x = 29,234,845,628.35/254,196
  6. Step 6: Final answer
    x = 115,009.07

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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.