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Finding the Fourth Proportional to 153,744, 212,166.72 and 83,088

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Solution

The fourth proportional to 153,744, 212,166.72 and 83,088 is: 114,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,744 : 212,166.72 = 83,088 : x
  2. Step 2: Convert to fraction form
    153,744/212,166.72 = 83,088/x
  3. Step 3: Cross multiply
    153,744x = 212,166.72 × 83,088
  4. Step 4: Simplify right side
    153,744x = 17,628,508,431.36
  5. Step 5: Solve for x
    x = 17,628,508,431.36/153,744
  6. Step 6: Final answer
    x = 114,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.