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Finding the Fourth Proportional to 128,820.80, 193,000.80 and 109,006.40

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Solution

The fourth proportional to 128,820.80, 193,000.80 and 109,006.40 is: 163,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820.80 : 193,000.80 = 109,006.40 : x
  2. Step 2: Convert to fraction form
    128,820.80/193,000.80 = 109,006.40/x
  3. Step 3: Cross multiply
    128,820.80x = 193,000.80 × 109,006.40
  4. Step 4: Simplify right side
    128,820.80x = 21,038,322,405.12
  5. Step 5: Solve for x
    x = 21,038,322,405.12/128,820.80
  6. Step 6: Final answer
    x = 163,314.64

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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.