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Finding the Fourth Proportional to 77,983.92, 107,617.50 and 42,173.97

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Solution

The fourth proportional to 77,983.92, 107,617.50 and 42,173.97 is: 58,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,983.92 : 107,617.50 = 42,173.97 : x
  2. Step 2: Convert to fraction form
    77,983.92/107,617.50 = 42,173.97/x
  3. Step 3: Cross multiply
    77,983.92x = 107,617.50 × 42,173.97
  4. Step 4: Simplify right side
    77,983.92x = 4,538,657,216.48
  5. Step 5: Solve for x
    x = 4,538,657,216.48/77,983.92
  6. Step 6: Final answer
    x = 58,199.91

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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.