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Finding the Fourth Proportional to 138,886.52, 191,649.70 and 77,621.40

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Solution

The fourth proportional to 138,886.52, 191,649.70 and 77,621.40 is: 107,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.52 : 191,649.70 = 77,621.40 : x
  2. Step 2: Convert to fraction form
    138,886.52/191,649.70 = 77,621.40/x
  3. Step 3: Cross multiply
    138,886.52x = 191,649.70 × 77,621.40
  4. Step 4: Simplify right side
    138,886.52x = 14,876,118,023.58
  5. Step 5: Solve for x
    x = 14,876,118,023.58/138,886.52
  6. Step 6: Final answer
    x = 107,109.88

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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.