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Finding the Fourth Proportional to 105,057.80, 157,608.30 and 34,987.40

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Solution

The fourth proportional to 105,057.80, 157,608.30 and 34,987.40 is: 52,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.80 : 157,608.30 = 34,987.40 : x
  2. Step 2: Convert to fraction form
    105,057.80/157,608.30 = 34,987.40/x
  3. Step 3: Cross multiply
    105,057.80x = 157,608.30 × 34,987.40
  4. Step 4: Simplify right side
    105,057.80x = 5,514,304,635.42
  5. Step 5: Solve for x
    x = 5,514,304,635.42/105,057.80
  6. Step 6: Final answer
    x = 52,488.29

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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.