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Finding the Fourth Proportional to 215,258.49, 322,899.87 and 65,503.65

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Solution

The fourth proportional to 215,258.49, 322,899.87 and 65,503.65 is: 98,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,258.49 : 322,899.87 = 65,503.65 : x
  2. Step 2: Convert to fraction form
    215,258.49/322,899.87 = 65,503.65/x
  3. Step 3: Cross multiply
    215,258.49x = 322,899.87 × 65,503.65
  4. Step 4: Simplify right side
    215,258.49x = 21,151,120,069.53
  5. Step 5: Solve for x
    x = 21,151,120,069.53/215,258.49
  6. Step 6: Final answer
    x = 98,259.17

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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.