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Finding the Fourth Proportional to 138,648.96, 191,335 and 78,219.60

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Solution

The fourth proportional to 138,648.96, 191,335 and 78,219.60 is: 107,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648.96 : 191,335 = 78,219.60 : x
  2. Step 2: Convert to fraction form
    138,648.96/191,335 = 78,219.60/x
  3. Step 3: Cross multiply
    138,648.96x = 191,335 × 78,219.60
  4. Step 4: Simplify right side
    138,648.96x = 14,966,147,166.00
  5. Step 5: Solve for x
    x = 14,966,147,166.00/138,648.96
  6. Step 6: Final answer
    x = 107,942.73

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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.