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Finding the Fourth Proportional to 156,889.80, 216,398.42 and 103,157.64

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Solution

The fourth proportional to 156,889.80, 216,398.42 and 103,157.64 is: 142,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,889.80 : 216,398.42 = 103,157.64 : x
  2. Step 2: Convert to fraction form
    156,889.80/216,398.42 = 103,157.64/x
  3. Step 3: Cross multiply
    156,889.80x = 216,398.42 × 103,157.64
  4. Step 4: Simplify right side
    156,889.80x = 22,323,150,306.93
  5. Step 5: Solve for x
    x = 22,323,150,306.93/156,889.80
  6. Step 6: Final answer
    x = 142,285.54

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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.