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Finding the Fourth Proportional to 140,435.20, 210,652.80 and 114,014.08

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Solution

The fourth proportional to 140,435.20, 210,652.80 and 114,014.08 is: 171,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,435.20 : 210,652.80 = 114,014.08 : x
  2. Step 2: Convert to fraction form
    140,435.20/210,652.80 = 114,014.08/x
  3. Step 3: Cross multiply
    140,435.20x = 210,652.80 × 114,014.08
  4. Step 4: Simplify right side
    140,435.20x = 24,017,385,191.42
  5. Step 5: Solve for x
    x = 24,017,385,191.42/140,435.20
  6. Step 6: Final answer
    x = 171,021.12

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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.