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Finding the Fourth Proportional to 76,689.47, 105,815.20 and 48,378.75

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Solution

The fourth proportional to 76,689.47, 105,815.20 and 48,378.75 is: 66,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689.47 : 105,815.20 = 48,378.75 : x
  2. Step 2: Convert to fraction form
    76,689.47/105,815.20 = 48,378.75/x
  3. Step 3: Cross multiply
    76,689.47x = 105,815.20 × 48,378.75
  4. Step 4: Simplify right side
    76,689.47x = 5,119,207,107
  5. Step 5: Solve for x
    x = 5,119,207,107/76,689.47
  6. Step 6: Final answer
    x = 66,752.41

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1.5x scale

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.