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Finding the Fourth Proportional to 76,367.65, 105,387.94 and 42,376.27

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Solution

The fourth proportional to 76,367.65, 105,387.94 and 42,376.27 is: 58,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,367.65 : 105,387.94 = 42,376.27 : x
  2. Step 2: Convert to fraction form
    76,367.65/105,387.94 = 42,376.27/x
  3. Step 3: Cross multiply
    76,367.65x = 105,387.94 × 42,376.27
  4. Step 4: Simplify right side
    76,367.65x = 4,465,947,588.30
  5. Step 5: Solve for x
    x = 4,465,947,588.30/76,367.65
  6. Step 6: Final answer
    x = 58,479.57

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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.