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Finding the Fourth Proportional to 150,756.32, 208,035.60 and 83,684

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Solution

The fourth proportional to 150,756.32, 208,035.60 and 83,684 is: 115,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,756.32 : 208,035.60 = 83,684 : x
  2. Step 2: Convert to fraction form
    150,756.32/208,035.60 = 83,684/x
  3. Step 3: Cross multiply
    150,756.32x = 208,035.60 × 83,684
  4. Step 4: Simplify right side
    150,756.32x = 17,409,251,150.40
  5. Step 5: Solve for x
    x = 17,409,251,150.40/150,756.32
  6. Step 6: Final answer
    x = 115,479.41

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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.