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Finding the Fourth Proportional to 76,350.78, 105,364.20 and 42,358.20

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Solution

The fourth proportional to 76,350.78, 105,364.20 and 42,358.20 is: 58,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350.78 : 105,364.20 = 42,358.20 : x
  2. Step 2: Convert to fraction form
    76,350.78/105,364.20 = 42,358.20/x
  3. Step 3: Cross multiply
    76,350.78x = 105,364.20 × 42,358.20
  4. Step 4: Simplify right side
    76,350.78x = 4,463,037,856.44
  5. Step 5: Solve for x
    x = 4,463,037,856.44/76,350.78
  6. Step 6: Final answer
    x = 58,454.38

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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.