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Finding the Fourth Proportional to 150,270, 207,372.60 and 83,206.32

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Solution

The fourth proportional to 150,270, 207,372.60 and 83,206.32 is: 114,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270 : 207,372.60 = 83,206.32 : x
  2. Step 2: Convert to fraction form
    150,270/207,372.60 = 83,206.32/x
  3. Step 3: Cross multiply
    150,270x = 207,372.60 × 83,206.32
  4. Step 4: Simplify right side
    150,270x = 17,254,710,914.83
  5. Step 5: Solve for x
    x = 17,254,710,914.83/150,270
  6. Step 6: Final answer
    x = 114,824.72

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1.5x scale

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.