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Finding the Fourth Proportional to 140,998.62, 194,574.62 and 76,464.30

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Solution

The fourth proportional to 140,998.62, 194,574.62 and 76,464.30 is: 105,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,998.62 : 194,574.62 = 76,464.30 : x
  2. Step 2: Convert to fraction form
    140,998.62/194,574.62 = 76,464.30/x
  3. Step 3: Cross multiply
    140,998.62x = 194,574.62 × 76,464.30
  4. Step 4: Simplify right side
    140,998.62x = 14,878,012,116.07
  5. Step 5: Solve for x
    x = 14,878,012,116.07/140,998.62
  6. Step 6: Final answer
    x = 105,518.85

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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.