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Finding the Fourth Proportional to 138,173, 190,678.74 and 78,557

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Solution

The fourth proportional to 138,173, 190,678.74 and 78,557 is: 108,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,173 : 190,678.74 = 78,557 : x
  2. Step 2: Convert to fraction form
    138,173/190,678.74 = 78,557/x
  3. Step 3: Cross multiply
    138,173x = 190,678.74 × 78,557
  4. Step 4: Simplify right side
    138,173x = 14,979,149,778.18
  5. Step 5: Solve for x
    x = 14,979,149,778.18/138,173
  6. Step 6: Final answer
    x = 108,408.66

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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.