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Finding the Fourth Proportional to 160,430, 220,898.86 and 142,493.86

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Solution

The fourth proportional to 160,430, 220,898.86 and 142,493.86 is: 196,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,430 : 220,898.86 = 142,493.86 : x
  2. Step 2: Convert to fraction form
    160,430/220,898.86 = 142,493.86/x
  3. Step 3: Cross multiply
    160,430x = 220,898.86 × 142,493.86
  4. Step 4: Simplify right side
    160,430x = 31,476,731,231.00
  5. Step 5: Solve for x
    x = 31,476,731,231.00/160,430
  6. Step 6: Final answer
    x = 196,202.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.