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Finding the Fourth Proportional to 150,688, 207,959.18 and 83,620

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Solution

The fourth proportional to 150,688, 207,959.18 and 83,620 is: 115,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,688 : 207,959.18 = 83,620 : x
  2. Step 2: Convert to fraction form
    150,688/207,959.18 = 83,620/x
  3. Step 3: Cross multiply
    150,688x = 207,959.18 × 83,620
  4. Step 4: Simplify right side
    150,688x = 17,389,546,631.60
  5. Step 5: Solve for x
    x = 17,389,546,631.60/150,688
  6. Step 6: Final answer
    x = 115,401.00

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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.