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Finding the Fourth Proportional to 101,200.20, 151,670.70 and 77,710.20

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Solution

The fourth proportional to 101,200.20, 151,670.70 and 77,710.20 is: 116,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,200.20 : 151,670.70 = 77,710.20 : x
  2. Step 2: Convert to fraction form
    101,200.20/151,670.70 = 77,710.20/x
  3. Step 3: Cross multiply
    101,200.20x = 151,670.70 × 77,710.20
  4. Step 4: Simplify right side
    101,200.20x = 11,786,360,431.14
  5. Step 5: Solve for x
    x = 11,786,360,431.14/101,200.20
  6. Step 6: Final answer
    x = 116,465.78

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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.