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Finding the Fourth Proportional to 151,729.50, 209,393.28 and 84,661.50

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Solution

The fourth proportional to 151,729.50, 209,393.28 and 84,661.50 is: 116,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,729.50 : 209,393.28 = 84,661.50 : x
  2. Step 2: Convert to fraction form
    151,729.50/209,393.28 = 84,661.50/x
  3. Step 3: Cross multiply
    151,729.50x = 209,393.28 × 84,661.50
  4. Step 4: Simplify right side
    151,729.50x = 17,727,549,174.72
  5. Step 5: Solve for x
    x = 17,727,549,174.72/151,729.50
  6. Step 6: Final answer
    x = 116,836.54

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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.