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Finding the Fourth Proportional to 76,438.52, 105,481.62 and 42,449.17

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Solution

The fourth proportional to 76,438.52, 105,481.62 and 42,449.17 is: 58,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.52 : 105,481.62 = 42,449.17 : x
  2. Step 2: Convert to fraction form
    76,438.52/105,481.62 = 42,449.17/x
  3. Step 3: Cross multiply
    76,438.52x = 105,481.62 × 42,449.17
  4. Step 4: Simplify right side
    76,438.52x = 4,477,607,219.26
  5. Step 5: Solve for x
    x = 4,477,607,219.26/76,438.52
  6. Step 6: Final answer
    x = 58,577.89

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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.