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Finding the Fourth Proportional to 150,912, 208,265.04 and 83,844

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Solution

The fourth proportional to 150,912, 208,265.04 and 83,844 is: 115,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912 : 208,265.04 = 83,844 : x
  2. Step 2: Convert to fraction form
    150,912/208,265.04 = 83,844/x
  3. Step 3: Cross multiply
    150,912x = 208,265.04 × 83,844
  4. Step 4: Simplify right side
    150,912x = 17,461,774,013.76
  5. Step 5: Solve for x
    x = 17,461,774,013.76/150,912
  6. Step 6: Final answer
    x = 115,708.32

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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.