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Finding the Fourth Proportional to 138,992.04, 191,809.32 and 75,329.82

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Solution

The fourth proportional to 138,992.04, 191,809.32 and 75,329.82 is: 103,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,992.04 : 191,809.32 = 75,329.82 : x
  2. Step 2: Convert to fraction form
    138,992.04/191,809.32 = 75,329.82/x
  3. Step 3: Cross multiply
    138,992.04x = 191,809.32 × 75,329.82
  4. Step 4: Simplify right side
    138,992.04x = 14,448,961,549.92
  5. Step 5: Solve for x
    x = 14,448,961,549.92/138,992.04
  6. Step 6: Final answer
    x = 103,955.32

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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.