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Finding the Fourth Proportional to 138,445.31, 191,054.61 and 74,783.11

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Solution

The fourth proportional to 138,445.31, 191,054.61 and 74,783.11 is: 103,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,445.31 : 191,054.61 = 74,783.11 : x
  2. Step 2: Convert to fraction form
    138,445.31/191,054.61 = 74,783.11/x
  3. Step 3: Cross multiply
    138,445.31x = 191,054.61 × 74,783.11
  4. Step 4: Simplify right side
    138,445.31x = 14,287,657,796.23
  5. Step 5: Solve for x
    x = 14,287,657,796.23/138,445.31
  6. Step 6: Final answer
    x = 103,200.73

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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.