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Finding the Fourth Proportional to 77,858.85, 107,445.21 and 42,048.87

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Solution

The fourth proportional to 77,858.85, 107,445.21 and 42,048.87 is: 58,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.85 : 107,445.21 = 42,048.87 : x
  2. Step 2: Convert to fraction form
    77,858.85/107,445.21 = 42,048.87/x
  3. Step 3: Cross multiply
    77,858.85x = 107,445.21 × 42,048.87
  4. Step 4: Simplify right side
    77,858.85x = 4,517,949,667.41
  5. Step 5: Solve for x
    x = 4,517,949,667.41/77,858.85
  6. Step 6: Final answer
    x = 58,027.44

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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.