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Finding the Fourth Proportional to 138,619.71, 191,295.41 and 74,957.51

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Solution

The fourth proportional to 138,619.71, 191,295.41 and 74,957.51 is: 103,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619.71 : 191,295.41 = 74,957.51 : x
  2. Step 2: Convert to fraction form
    138,619.71/191,295.41 = 74,957.51/x
  3. Step 3: Cross multiply
    138,619.71x = 191,295.41 × 74,957.51
  4. Step 4: Simplify right side
    138,619.71x = 14,339,026,276.76
  5. Step 5: Solve for x
    x = 14,339,026,276.76/138,619.71
  6. Step 6: Final answer
    x = 103,441.47

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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.