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Finding the Fourth Proportional to 102,144.51, 140,945.94 and 56,813.49

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Solution

The fourth proportional to 102,144.51, 140,945.94 and 56,813.49 is: 78,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.51 : 140,945.94 = 56,813.49 : x
  2. Step 2: Convert to fraction form
    102,144.51/140,945.94 = 56,813.49/x
  3. Step 3: Cross multiply
    102,144.51x = 140,945.94 × 56,813.49
  4. Step 4: Simplify right side
    102,144.51x = 8,007,630,752.73
  5. Step 5: Solve for x
    x = 8,007,630,752.73/102,144.51
  6. Step 6: Final answer
    x = 78,395.12

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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.