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Finding the Fourth Proportional to 103,289.88, 154,909.31 and 28,406.40

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Solution

The fourth proportional to 103,289.88, 154,909.31 and 28,406.40 is: 42,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.88 : 154,909.31 = 28,406.40 : x
  2. Step 2: Convert to fraction form
    103,289.88/154,909.31 = 28,406.40/x
  3. Step 3: Cross multiply
    103,289.88x = 154,909.31 × 28,406.40
  4. Step 4: Simplify right side
    103,289.88x = 4,400,415,260.43
  5. Step 5: Solve for x
    x = 4,400,415,260.43/103,289.88
  6. Step 6: Final answer
    x = 42,602.58

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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.