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Finding the Fourth Proportional to 281,041.95, 387,847.13 and 153,717.54

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Solution

The fourth proportional to 281,041.95, 387,847.13 and 153,717.54 is: 212,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,041.95 : 387,847.13 = 153,717.54 : x
  2. Step 2: Convert to fraction form
    281,041.95/387,847.13 = 153,717.54/x
  3. Step 3: Cross multiply
    281,041.95x = 387,847.13 × 153,717.54
  4. Step 4: Simplify right side
    281,041.95x = 59,618,906,719.66
  5. Step 5: Solve for x
    x = 59,618,906,719.66/281,041.95
  6. Step 6: Final answer
    x = 212,135.26

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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.