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Finding the Fourth Proportional to 138,692.81, 191,400.99 and 78,259.93

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Solution

The fourth proportional to 138,692.81, 191,400.99 and 78,259.93 is: 108,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,692.81 : 191,400.99 = 78,259.93 : x
  2. Step 2: Convert to fraction form
    138,692.81/191,400.99 = 78,259.93/x
  3. Step 3: Cross multiply
    138,692.81x = 191,400.99 × 78,259.93
  4. Step 4: Simplify right side
    138,692.81x = 14,979,028,079.33
  5. Step 5: Solve for x
    x = 14,979,028,079.33/138,692.81
  6. Step 6: Final answer
    x = 108,001.48

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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.