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Finding the Fourth Proportional to 76,478.48, 105,536.88 and 42,489.26

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Solution

The fourth proportional to 76,478.48, 105,536.88 and 42,489.26 is: 58,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.48 : 105,536.88 = 42,489.26 : x
  2. Step 2: Convert to fraction form
    76,478.48/105,536.88 = 42,489.26/x
  3. Step 3: Cross multiply
    76,478.48x = 105,536.88 × 42,489.26
  4. Step 4: Simplify right side
    76,478.48x = 4,484,183,933.91
  5. Step 5: Solve for x
    x = 4,484,183,933.91/76,478.48
  6. Step 6: Final answer
    x = 58,633.28

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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.