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Finding the Fourth Proportional to 131,428.60, 197,013.30 and 64,814.20

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Solution

The fourth proportional to 131,428.60, 197,013.30 and 64,814.20 is: 97,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,428.60 : 197,013.30 = 64,814.20 : x
  2. Step 2: Convert to fraction form
    131,428.60/197,013.30 = 64,814.20/x
  3. Step 3: Cross multiply
    131,428.60x = 197,013.30 × 64,814.20
  4. Step 4: Simplify right side
    131,428.60x = 12,769,259,428.86
  5. Step 5: Solve for x
    x = 12,769,259,428.86/131,428.60
  6. Step 6: Final answer
    x = 97,157.39

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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.