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Finding the Fourth Proportional to 138,787.50, 191,526.84 and 75,125.82

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Solution

The fourth proportional to 138,787.50, 191,526.84 and 75,125.82 is: 103,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,787.50 : 191,526.84 = 75,125.82 : x
  2. Step 2: Convert to fraction form
    138,787.50/191,526.84 = 75,125.82/x
  3. Step 3: Cross multiply
    138,787.50x = 191,526.84 × 75,125.82
  4. Step 4: Simplify right side
    138,787.50x = 14,388,610,907.01
  5. Step 5: Solve for x
    x = 14,388,610,907.01/138,787.50
  6. Step 6: Final answer
    x = 103,673.68

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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.