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Finding the Fourth Proportional to 102,057.58, 140,838.70 and 56,739.70

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Solution

The fourth proportional to 102,057.58, 140,838.70 and 56,739.70 is: 78,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,057.58 : 140,838.70 = 56,739.70 : x
  2. Step 2: Convert to fraction form
    102,057.58/140,838.70 = 56,739.70/x
  3. Step 3: Cross multiply
    102,057.58x = 140,838.70 × 56,739.70
  4. Step 4: Simplify right side
    102,057.58x = 7,991,145,586.39
  5. Step 5: Solve for x
    x = 7,991,145,586.39/102,057.58
  6. Step 6: Final answer
    x = 78,300.36

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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.