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Finding the Fourth Proportional to 152,120.84, 209,918.51 and 84,133.84

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Solution

The fourth proportional to 152,120.84, 209,918.51 and 84,133.84 is: 116,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,120.84 : 209,918.51 = 84,133.84 : x
  2. Step 2: Convert to fraction form
    152,120.84/209,918.51 = 84,133.84/x
  3. Step 3: Cross multiply
    152,120.84x = 209,918.51 × 84,133.84
  4. Step 4: Simplify right side
    152,120.84x = 17,661,250,333.64
  5. Step 5: Solve for x
    x = 17,661,250,333.64/152,120.84
  6. Step 6: Final answer
    x = 116,100.14

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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.