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Finding the Fourth Proportional to 138,496.98, 191,125.71 and 74,834.76

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Solution

The fourth proportional to 138,496.98, 191,125.71 and 74,834.76 is: 103,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.98 : 191,125.71 = 74,834.76 : x
  2. Step 2: Convert to fraction form
    138,496.98/191,125.71 = 74,834.76/x
  3. Step 3: Cross multiply
    138,496.98x = 191,125.71 × 74,834.76
  4. Step 4: Simplify right side
    138,496.98x = 14,302,846,637.68
  5. Step 5: Solve for x
    x = 14,302,846,637.68/138,496.98
  6. Step 6: Final answer
    x = 103,271.90

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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.