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Finding the Fourth Proportional to 138,164.25, 190,666.67 and 78,548.25

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Solution

The fourth proportional to 138,164.25, 190,666.67 and 78,548.25 is: 108,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.25 : 190,666.67 = 78,548.25 : x
  2. Step 2: Convert to fraction form
    138,164.25/190,666.67 = 78,548.25/x
  3. Step 3: Cross multiply
    138,164.25x = 190,666.67 × 78,548.25
  4. Step 4: Simplify right side
    138,164.25x = 14,976,533,261.83
  5. Step 5: Solve for x
    x = 14,976,533,261.83/138,164.25
  6. Step 6: Final answer
    x = 108,396.59

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1.5x scale

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.