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Finding the Fourth Proportional to 272,802.48, 409,268.16 and 85,814

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Solution

The fourth proportional to 272,802.48, 409,268.16 and 85,814 is: 128,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802.48 : 409,268.16 = 85,814 : x
  2. Step 2: Convert to fraction form
    272,802.48/409,268.16 = 85,814/x
  3. Step 3: Cross multiply
    272,802.48x = 409,268.16 × 85,814
  4. Step 4: Simplify right side
    272,802.48x = 35,120,937,882.24
  5. Step 5: Solve for x
    x = 35,120,937,882.24/272,802.48
  6. Step 6: Final answer
    x = 128,741.27

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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.