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Finding the Fourth Proportional to 272,883.51, 409,369.01 and 115,135.20

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Solution

The fourth proportional to 272,883.51, 409,369.01 and 115,135.20 is: 172,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,883.51 : 409,369.01 = 115,135.20 : x
  2. Step 2: Convert to fraction form
    272,883.51/409,369.01 = 115,135.20/x
  3. Step 3: Cross multiply
    272,883.51x = 409,369.01 × 115,135.20
  4. Step 4: Simplify right side
    272,883.51x = 47,132,782,264.48
  5. Step 5: Solve for x
    x = 47,132,782,264.48/272,883.51
  6. Step 6: Final answer
    x = 172,721.25

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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.