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Finding the Fourth Proportional to 102,123.92, 140,873.49 and 61,277.48

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Solution

The fourth proportional to 102,123.92, 140,873.49 and 61,277.48 is: 84,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123.92 : 140,873.49 = 61,277.48 : x
  2. Step 2: Convert to fraction form
    102,123.92/140,873.49 = 61,277.48/x
  3. Step 3: Cross multiply
    102,123.92x = 140,873.49 × 61,277.48
  4. Step 4: Simplify right side
    102,123.92x = 8,632,371,761.64
  5. Step 5: Solve for x
    x = 8,632,371,761.64/102,123.92
  6. Step 6: Final answer
    x = 84,528.41

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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.