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Finding the Fourth Proportional to 138,649.95, 191,336.37 and 78,220.59

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Solution

The fourth proportional to 138,649.95, 191,336.37 and 78,220.59 is: 107,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.95 : 191,336.37 = 78,220.59 : x
  2. Step 2: Convert to fraction form
    138,649.95/191,336.37 = 78,220.59/x
  3. Step 3: Cross multiply
    138,649.95x = 191,336.37 × 78,220.59
  4. Step 4: Simplify right side
    138,649.95x = 14,966,443,749.86
  5. Step 5: Solve for x
    x = 14,966,443,749.86/138,649.95
  6. Step 6: Final answer
    x = 107,944.10

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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.