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Finding the Fourth Proportional to 138,488.22, 191,079.63 and 78,058.98

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Solution

The fourth proportional to 138,488.22, 191,079.63 and 78,058.98 is: 107,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,488.22 : 191,079.63 = 78,058.98 : x
  2. Step 2: Convert to fraction form
    138,488.22/191,079.63 = 78,058.98/x
  3. Step 3: Cross multiply
    138,488.22x = 191,079.63 × 78,058.98
  4. Step 4: Simplify right side
    138,488.22x = 14,915,481,016.58
  5. Step 5: Solve for x
    x = 14,915,481,016.58/138,488.22
  6. Step 6: Final answer
    x = 107,702.16

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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.