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Finding the Fourth Proportional to 140,103.68, 210,298.48 and 102,552.21

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Solution

The fourth proportional to 140,103.68, 210,298.48 and 102,552.21 is: 153,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103.68 : 210,298.48 = 102,552.21 : x
  2. Step 2: Convert to fraction form
    140,103.68/210,298.48 = 102,552.21/x
  3. Step 3: Cross multiply
    140,103.68x = 210,298.48 × 102,552.21
  4. Step 4: Simplify right side
    140,103.68x = 21,566,573,883.64
  5. Step 5: Solve for x
    x = 21,566,573,883.64/140,103.68
  6. Step 6: Final answer
    x = 153,932.96

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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.