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Finding the Fourth Proportional to 281,046.48, 387,841.32 and 153,724.56

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Solution

The fourth proportional to 281,046.48, 387,841.32 and 153,724.56 is: 212,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,046.48 : 387,841.32 = 153,724.56 : x
  2. Step 2: Convert to fraction form
    281,046.48/387,841.32 = 153,724.56/x
  3. Step 3: Cross multiply
    281,046.48x = 387,841.32 × 153,724.56
  4. Step 4: Simplify right side
    281,046.48x = 59,620,736,266.82
  5. Step 5: Solve for x
    x = 59,620,736,266.82/281,046.48
  6. Step 6: Final answer
    x = 212,138.35

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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.