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Finding the Fourth Proportional to 138,692.95, 191,401.16 and 78,260.06

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Solution

The fourth proportional to 138,692.95, 191,401.16 and 78,260.06 is: 108,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,692.95 : 191,401.16 = 78,260.06 : x
  2. Step 2: Convert to fraction form
    138,692.95/191,401.16 = 78,260.06/x
  3. Step 3: Cross multiply
    138,692.95x = 191,401.16 × 78,260.06
  4. Step 4: Simplify right side
    138,692.95x = 14,979,066,352.87
  5. Step 5: Solve for x
    x = 14,979,066,352.87/138,692.95
  6. Step 6: Final answer
    x = 108,001.64

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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.