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Finding the Fourth Proportional to 76,230.90, 105,165.49 and 47,891.70

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Solution

The fourth proportional to 76,230.90, 105,165.49 and 47,891.70 is: 66,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230.90 : 105,165.49 = 47,891.70 : x
  2. Step 2: Convert to fraction form
    76,230.90/105,165.49 = 47,891.70/x
  3. Step 3: Cross multiply
    76,230.90x = 105,165.49 × 47,891.70
  4. Step 4: Simplify right side
    76,230.90x = 5,036,554,097.43
  5. Step 5: Solve for x
    x = 5,036,554,097.43/76,230.90
  6. Step 6: Final answer
    x = 66,069.72

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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.