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Finding the Fourth Proportional to 150,816, 208,126.08 and 83,748

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Solution

The fourth proportional to 150,816, 208,126.08 and 83,748 is: 115,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,816 : 208,126.08 = 83,748 : x
  2. Step 2: Convert to fraction form
    150,816/208,126.08 = 83,748/x
  3. Step 3: Cross multiply
    150,816x = 208,126.08 × 83,748
  4. Step 4: Simplify right side
    150,816x = 17,430,142,947.84
  5. Step 5: Solve for x
    x = 17,430,142,947.84/150,816
  6. Step 6: Final answer
    x = 115,572.24

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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.