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Finding the Fourth Proportional to 142,657.86, 213,906.62 and 97,729.88

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Solution

The fourth proportional to 142,657.86, 213,906.62 and 97,729.88 is: 146,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.86 : 213,906.62 = 97,729.88 : x
  2. Step 2: Convert to fraction form
    142,657.86/213,906.62 = 97,729.88/x
  3. Step 3: Cross multiply
    142,657.86x = 213,906.62 × 97,729.88
  4. Step 4: Simplify right side
    142,657.86x = 20,905,068,303.81
  5. Step 5: Solve for x
    x = 20,905,068,303.81/142,657.86
  6. Step 6: Final answer
    x = 146,539.90

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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.