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Finding the Fourth Proportional to 140,104.62, 210,154.89 and 65,182.86

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Solution

The fourth proportional to 140,104.62, 210,154.89 and 65,182.86 is: 97,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104.62 : 210,154.89 = 65,182.86 : x
  2. Step 2: Convert to fraction form
    140,104.62/210,154.89 = 65,182.86/x
  3. Step 3: Cross multiply
    140,104.62x = 210,154.89 × 65,182.86
  4. Step 4: Simplify right side
    140,104.62x = 13,698,496,773.19
  5. Step 5: Solve for x
    x = 13,698,496,773.19/140,104.62
  6. Step 6: Final answer
    x = 97,773.34

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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.