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Finding the Fourth Proportional to 138,653.88, 191,342.32 and 74,991.66

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Solution

The fourth proportional to 138,653.88, 191,342.32 and 74,991.66 is: 103,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,653.88 : 191,342.32 = 74,991.66 : x
  2. Step 2: Convert to fraction form
    138,653.88/191,342.32 = 74,991.66/x
  3. Step 3: Cross multiply
    138,653.88x = 191,342.32 × 74,991.66
  4. Step 4: Simplify right side
    138,653.88x = 14,349,077,300.04
  5. Step 5: Solve for x
    x = 14,349,077,300.04/138,653.88
  6. Step 6: Final answer
    x = 103,488.47

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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.