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Finding the Fourth Proportional to 76,438.87, 105,482.09 and 42,449.52

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Solution

The fourth proportional to 76,438.87, 105,482.09 and 42,449.52 is: 58,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.87 : 105,482.09 = 42,449.52 : x
  2. Step 2: Convert to fraction form
    76,438.87/105,482.09 = 42,449.52/x
  3. Step 3: Cross multiply
    76,438.87x = 105,482.09 × 42,449.52
  4. Step 4: Simplify right side
    76,438.87x = 4,477,664,089.10
  5. Step 5: Solve for x
    x = 4,477,664,089.10/76,438.87
  6. Step 6: Final answer
    x = 58,578.37

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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.