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Finding the Fourth Proportional to 76,362.68, 105,380.40 and 42,376.70

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Solution

The fourth proportional to 76,362.68, 105,380.40 and 42,376.70 is: 58,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.68 : 105,380.40 = 42,376.70 : x
  2. Step 2: Convert to fraction form
    76,362.68/105,380.40 = 42,376.70/x
  3. Step 3: Cross multiply
    76,362.68x = 105,380.40 × 42,376.70
  4. Step 4: Simplify right side
    76,362.68x = 4,465,673,596.68
  5. Step 5: Solve for x
    x = 4,465,673,596.68/76,362.68
  6. Step 6: Final answer
    x = 58,479.79

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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.