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Finding the Fourth Proportional to 209,915.96, 314,923.14 and 83,563.92

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Solution

The fourth proportional to 209,915.96, 314,923.14 and 83,563.92 is: 125,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,915.96 : 314,923.14 = 83,563.92 : x
  2. Step 2: Convert to fraction form
    209,915.96/314,923.14 = 83,563.92/x
  3. Step 3: Cross multiply
    209,915.96x = 314,923.14 × 83,563.92
  4. Step 4: Simplify right side
    209,915.96x = 26,316,212,077.11
  5. Step 5: Solve for x
    x = 26,316,212,077.11/209,915.96
  6. Step 6: Final answer
    x = 125,365.47

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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.