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Finding the Fourth Proportional to 142,484.86, 214,115.01 and 75,971.98

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Solution

The fourth proportional to 142,484.86, 214,115.01 and 75,971.98 is: 114,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,484.86 : 214,115.01 = 75,971.98 : x
  2. Step 2: Convert to fraction form
    142,484.86/214,115.01 = 75,971.98/x
  3. Step 3: Cross multiply
    142,484.86x = 214,115.01 × 75,971.98
  4. Step 4: Simplify right side
    142,484.86x = 16,266,741,257.42
  5. Step 5: Solve for x
    x = 16,266,741,257.42/142,484.86
  6. Step 6: Final answer
    x = 114,164.70

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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.