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Finding the Fourth Proportional to 105,051.52, 157,642.88 and 42,722

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Solution

The fourth proportional to 105,051.52, 157,642.88 and 42,722 is: 64,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.52 : 157,642.88 = 42,722 : x
  2. Step 2: Convert to fraction form
    105,051.52/157,642.88 = 42,722/x
  3. Step 3: Cross multiply
    105,051.52x = 157,642.88 × 42,722
  4. Step 4: Simplify right side
    105,051.52x = 6,734,819,119.36
  5. Step 5: Solve for x
    x = 6,734,819,119.36/105,051.52
  6. Step 6: Final answer
    x = 64,109.68

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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.