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Finding the Fourth Proportional to 209,838.56, 314,806.94 and 83,485.94

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Solution

The fourth proportional to 209,838.56, 314,806.94 and 83,485.94 is: 125,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,838.56 : 314,806.94 = 83,485.94 : x
  2. Step 2: Convert to fraction form
    209,838.56/314,806.94 = 83,485.94/x
  3. Step 3: Cross multiply
    209,838.56x = 314,806.94 × 83,485.94
  4. Step 4: Simplify right side
    209,838.56x = 26,281,953,304.42
  5. Step 5: Solve for x
    x = 26,281,953,304.42/209,838.56
  6. Step 6: Final answer
    x = 125,248.44

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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.