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Finding the Fourth Proportional to 138,948, 191,748.37 and 75,285.80

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Solution

The fourth proportional to 138,948, 191,748.37 and 75,285.80 is: 103,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948 : 191,748.37 = 75,285.80 : x
  2. Step 2: Convert to fraction form
    138,948/191,748.37 = 75,285.80/x
  3. Step 3: Cross multiply
    138,948x = 191,748.37 × 75,285.80
  4. Step 4: Simplify right side
    138,948x = 14,435,928,098.98
  5. Step 5: Solve for x
    x = 14,435,928,098.98/138,948
  6. Step 6: Final answer
    x = 103,894.46

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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.