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Finding the Fourth Proportional to 208,133.34, 312,258.33 and 83,561.82

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Solution

The fourth proportional to 208,133.34, 312,258.33 and 83,561.82 is: 125,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.34 : 312,258.33 = 83,561.82 : x
  2. Step 2: Convert to fraction form
    208,133.34/312,258.33 = 83,561.82/x
  3. Step 3: Cross multiply
    208,133.34x = 312,258.33 × 83,561.82
  4. Step 4: Simplify right side
    208,133.34x = 26,092,874,364.96
  5. Step 5: Solve for x
    x = 26,092,874,364.96/208,133.34
  6. Step 6: Final answer
    x = 125,366.14

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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.