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Finding the Fourth Proportional to 138,444.97, 191,054.14 and 74,782.77

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Solution

The fourth proportional to 138,444.97, 191,054.14 and 74,782.77 is: 103,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444.97 : 191,054.14 = 74,782.77 : x
  2. Step 2: Convert to fraction form
    138,444.97/191,054.14 = 74,782.77/x
  3. Step 3: Cross multiply
    138,444.97x = 191,054.14 × 74,782.77
  4. Step 4: Simplify right side
    138,444.97x = 14,287,556,479.98
  5. Step 5: Solve for x
    x = 14,287,556,479.98/138,444.97
  6. Step 6: Final answer
    x = 103,200.26

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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.