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Finding the Fourth Proportional to 281,176.31, 388,023.31 and 153,851.91

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Solution

The fourth proportional to 281,176.31, 388,023.31 and 153,851.91 is: 212,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,176.31 : 388,023.31 = 153,851.91 : x
  2. Step 2: Convert to fraction form
    281,176.31/388,023.31 = 153,851.91/x
  3. Step 3: Cross multiply
    281,176.31x = 388,023.31 × 153,851.91
  4. Step 4: Simplify right side
    281,176.31x = 59,698,126,105.25
  5. Step 5: Solve for x
    x = 59,698,126,105.25/281,176.31
  6. Step 6: Final answer
    x = 212,315.63

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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.