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Finding the Fourth Proportional to 83,607, 125,410.50 and 28,203

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Solution

The fourth proportional to 83,607, 125,410.50 and 28,203 is: 42,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,607 : 125,410.50 = 28,203 : x
  2. Step 2: Convert to fraction form
    83,607/125,410.50 = 28,203/x
  3. Step 3: Cross multiply
    83,607x = 125,410.50 × 28,203
  4. Step 4: Simplify right side
    83,607x = 3,536,952,331.50
  5. Step 5: Solve for x
    x = 3,536,952,331.50/83,607
  6. Step 6: Final answer
    x = 42,304.50

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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.