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Finding the Fourth Proportional to 103,990.64, 156,073.43 and 97,429.64

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Solution

The fourth proportional to 103,990.64, 156,073.43 and 97,429.64 is: 146,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,990.64 : 156,073.43 = 97,429.64 : x
  2. Step 2: Convert to fraction form
    103,990.64/156,073.43 = 97,429.64/x
  3. Step 3: Cross multiply
    103,990.64x = 156,073.43 × 97,429.64
  4. Step 4: Simplify right side
    103,990.64x = 15,206,177,561.67
  5. Step 5: Solve for x
    x = 15,206,177,561.67/103,990.64
  6. Step 6: Final answer
    x = 146,226.41

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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.