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Finding the Fourth Proportional to 138,646.44, 191,333.95 and 78,216.91

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Solution

The fourth proportional to 138,646.44, 191,333.95 and 78,216.91 is: 107,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.44 : 191,333.95 = 78,216.91 : x
  2. Step 2: Convert to fraction form
    138,646.44/191,333.95 = 78,216.91/x
  3. Step 3: Cross multiply
    138,646.44x = 191,333.95 × 78,216.91
  4. Step 4: Simplify right side
    138,646.44x = 14,965,549,673.22
  5. Step 5: Solve for x
    x = 14,965,549,673.22/138,646.44
  6. Step 6: Final answer
    x = 107,940.38

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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.