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Finding the Fourth Proportional to 76,688.97, 105,814.51 and 48,378.25

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Solution

The fourth proportional to 76,688.97, 105,814.51 and 48,378.25 is: 66,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.97 : 105,814.51 = 48,378.25 : x
  2. Step 2: Convert to fraction form
    76,688.97/105,814.51 = 48,378.25/x
  3. Step 3: Cross multiply
    76,688.97x = 105,814.51 × 48,378.25
  4. Step 4: Simplify right side
    76,688.97x = 5,119,120,818.41
  5. Step 5: Solve for x
    x = 5,119,120,818.41/76,688.97
  6. Step 6: Final answer
    x = 66,751.72

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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.