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Finding the Fourth Proportional to 102,168.31, 140,991.54 and 56,230.75

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Solution

The fourth proportional to 102,168.31, 140,991.54 and 56,230.75 is: 77,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168.31 : 140,991.54 = 56,230.75 : x
  2. Step 2: Convert to fraction form
    102,168.31/140,991.54 = 56,230.75/x
  3. Step 3: Cross multiply
    102,168.31x = 140,991.54 × 56,230.75
  4. Step 4: Simplify right side
    102,168.31x = 7,928,060,037.86
  5. Step 5: Solve for x
    x = 7,928,060,037.86/102,168.31
  6. Step 6: Final answer
    x = 77,598.03

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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.