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Finding the Fourth Proportional to 140,499.95, 210,651.36 and 51,742.08

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Solution

The fourth proportional to 140,499.95, 210,651.36 and 51,742.08 is: 77,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,499.95 : 210,651.36 = 51,742.08 : x
  2. Step 2: Convert to fraction form
    140,499.95/210,651.36 = 51,742.08/x
  3. Step 3: Cross multiply
    140,499.95x = 210,651.36 × 51,742.08
  4. Step 4: Simplify right side
    140,499.95x = 10,899,539,521.23
  5. Step 5: Solve for x
    x = 10,899,539,521.23/140,499.95
  6. Step 6: Final answer
    x = 77,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.