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Finding the Fourth Proportional to 138,429.68, 191,047.92 and 84,750.80

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Solution

The fourth proportional to 138,429.68, 191,047.92 and 84,750.80 is: 116,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429.68 : 191,047.92 = 84,750.80 : x
  2. Step 2: Convert to fraction form
    138,429.68/191,047.92 = 84,750.80/x
  3. Step 3: Cross multiply
    138,429.68x = 191,047.92 × 84,750.80
  4. Step 4: Simplify right side
    138,429.68x = 16,191,464,058.34
  5. Step 5: Solve for x
    x = 16,191,464,058.34/138,429.68
  6. Step 6: Final answer
    x = 116,965.26

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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.