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Finding the Fourth Proportional to 215,133, 322,716.54 and 65,386.28

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Solution

The fourth proportional to 215,133, 322,716.54 and 65,386.28 is: 98,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,133 : 322,716.54 = 65,386.28 : x
  2. Step 2: Convert to fraction form
    215,133/322,716.54 = 65,386.28/x
  3. Step 3: Cross multiply
    215,133x = 322,716.54 × 65,386.28
  4. Step 4: Simplify right side
    215,133x = 21,101,234,045.07
  5. Step 5: Solve for x
    x = 21,101,234,045.07/215,133
  6. Step 6: Final answer
    x = 98,084.60

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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.