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Finding the Fourth Proportional to 217,258.80, 325,920.60 and 77,006.40

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Solution

The fourth proportional to 217,258.80, 325,920.60 and 77,006.40 is: 115,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,258.80 : 325,920.60 = 77,006.40 : x
  2. Step 2: Convert to fraction form
    217,258.80/325,920.60 = 77,006.40/x
  3. Step 3: Cross multiply
    217,258.80x = 325,920.60 × 77,006.40
  4. Step 4: Simplify right side
    217,258.80x = 25,097,972,091.84
  5. Step 5: Solve for x
    x = 25,097,972,091.84/217,258.80
  6. Step 6: Final answer
    x = 115,521.08

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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.