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Finding the Fourth Proportional to 105,079.98, 157,666.21 and 55,148.03

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Solution

The fourth proportional to 105,079.98, 157,666.21 and 55,148.03 is: 82,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,079.98 : 157,666.21 = 55,148.03 : x
  2. Step 2: Convert to fraction form
    105,079.98/157,666.21 = 55,148.03/x
  3. Step 3: Cross multiply
    105,079.98x = 157,666.21 × 55,148.03
  4. Step 4: Simplify right side
    105,079.98x = 8,694,981,135.36
  5. Step 5: Solve for x
    x = 8,694,981,135.36/105,079.98
  6. Step 6: Final answer
    x = 82,746.32

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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.