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Finding the Fourth Proportional to 272,718.40, 409,100.64 and 85,783.36

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Solution

The fourth proportional to 272,718.40, 409,100.64 and 85,783.36 is: 128,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,718.40 : 409,100.64 = 85,783.36 : x
  2. Step 2: Convert to fraction form
    272,718.40/409,100.64 = 85,783.36/x
  3. Step 3: Cross multiply
    272,718.40x = 409,100.64 × 85,783.36
  4. Step 4: Simplify right side
    272,718.40x = 35,094,027,477.35
  5. Step 5: Solve for x
    x = 35,094,027,477.35/272,718.40
  6. Step 6: Final answer
    x = 128,682.29

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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.