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Finding the Fourth Proportional to 102,091.98, 140,887.05 and 56,768.99

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Solution

The fourth proportional to 102,091.98, 140,887.05 and 56,768.99 is: 78,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091.98 : 140,887.05 = 56,768.99 : x
  2. Step 2: Convert to fraction form
    102,091.98/140,887.05 = 56,768.99/x
  3. Step 3: Cross multiply
    102,091.98x = 140,887.05 × 56,768.99
  4. Step 4: Simplify right side
    102,091.98x = 7,998,014,824.98
  5. Step 5: Solve for x
    x = 7,998,014,824.98/102,091.98
  6. Step 6: Final answer
    x = 78,341.27

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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.