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Finding the Fourth Proportional to 101,152.10, 151,728.15 and 31,022.30

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Solution

The fourth proportional to 101,152.10, 151,728.15 and 31,022.30 is: 46,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,152.10 : 151,728.15 = 31,022.30 : x
  2. Step 2: Convert to fraction form
    101,152.10/151,728.15 = 31,022.30/x
  3. Step 3: Cross multiply
    101,152.10x = 151,728.15 × 31,022.30
  4. Step 4: Simplify right side
    101,152.10x = 4,706,956,187.75
  5. Step 5: Solve for x
    x = 4,706,956,187.75/101,152.10
  6. Step 6: Final answer
    x = 46,533.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.