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Finding the Fourth Proportional to 138,159, 190,659.42 and 78,543

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Solution

The fourth proportional to 138,159, 190,659.42 and 78,543 is: 108,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,159 : 190,659.42 = 78,543 : x
  2. Step 2: Convert to fraction form
    138,159/190,659.42 = 78,543/x
  3. Step 3: Cross multiply
    138,159x = 190,659.42 × 78,543
  4. Step 4: Simplify right side
    138,159x = 14,974,962,825.06
  5. Step 5: Solve for x
    x = 14,974,962,825.06/138,159
  6. Step 6: Final answer
    x = 108,389.34

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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.