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Finding the Fourth Proportional to 139,123.77, 191,991.14 and 75,461.57

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Solution

The fourth proportional to 139,123.77, 191,991.14 and 75,461.57 is: 104,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,123.77 : 191,991.14 = 75,461.57 : x
  2. Step 2: Convert to fraction form
    139,123.77/191,991.14 = 75,461.57/x
  3. Step 3: Cross multiply
    139,123.77x = 191,991.14 × 75,461.57
  4. Step 4: Simplify right side
    139,123.77x = 14,487,951,513.23
  5. Step 5: Solve for x
    x = 14,487,951,513.23/139,123.77
  6. Step 6: Final answer
    x = 104,137.14

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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.