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Finding the Fourth Proportional to 140,959.64, 194,524.34 and 77,298.77

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Solution

The fourth proportional to 140,959.64, 194,524.34 and 77,298.77 is: 106,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,959.64 : 194,524.34 = 77,298.77 : x
  2. Step 2: Convert to fraction form
    140,959.64/194,524.34 = 77,298.77/x
  3. Step 3: Cross multiply
    140,959.64x = 194,524.34 × 77,298.77
  4. Step 4: Simplify right side
    140,959.64x = 15,036,492,316.88
  5. Step 5: Solve for x
    x = 15,036,492,316.88/140,959.64
  6. Step 6: Final answer
    x = 106,672.32

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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.