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Finding the Fourth Proportional to 76,412.57, 105,449.31 and 44,575.31

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Solution

The fourth proportional to 76,412.57, 105,449.31 and 44,575.31 is: 61,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.57 : 105,449.31 = 44,575.31 : x
  2. Step 2: Convert to fraction form
    76,412.57/105,449.31 = 44,575.31/x
  3. Step 3: Cross multiply
    76,412.57x = 105,449.31 × 44,575.31
  4. Step 4: Simplify right side
    76,412.57x = 4,700,435,946.16
  5. Step 5: Solve for x
    x = 4,700,435,946.16/76,412.57
  6. Step 6: Final answer
    x = 61,513.91

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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.