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Finding the Fourth Proportional to 77,858.76, 107,445.09 and 42,048.78

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Solution

The fourth proportional to 77,858.76, 107,445.09 and 42,048.78 is: 58,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.76 : 107,445.09 = 42,048.78 : x
  2. Step 2: Convert to fraction form
    77,858.76/107,445.09 = 42,048.78/x
  3. Step 3: Cross multiply
    77,858.76x = 107,445.09 × 42,048.78
  4. Step 4: Simplify right side
    77,858.76x = 4,517,934,951.49
  5. Step 5: Solve for x
    x = 4,517,934,951.49/77,858.76
  6. Step 6: Final answer
    x = 58,027.32

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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.