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Finding the Fourth Proportional to 209,889.54, 314,635.95 and 83,607.75

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Solution

The fourth proportional to 209,889.54, 314,635.95 and 83,607.75 is: 125,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.54 : 314,635.95 = 83,607.75 : x
  2. Step 2: Convert to fraction form
    209,889.54/314,635.95 = 83,607.75/x
  3. Step 3: Cross multiply
    209,889.54x = 314,635.95 × 83,607.75
  4. Step 4: Simplify right side
    209,889.54x = 26,306,003,848.61
  5. Step 5: Solve for x
    x = 26,306,003,848.61/209,889.54
  6. Step 6: Final answer
    x = 125,332.61

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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.