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Finding the Fourth Proportional to 128,777.45, 177,749.87 and 77,782.05

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Solution

The fourth proportional to 128,777.45, 177,749.87 and 77,782.05 is: 107,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,777.45 : 177,749.87 = 77,782.05 : x
  2. Step 2: Convert to fraction form
    128,777.45/177,749.87 = 77,782.05/x
  3. Step 3: Cross multiply
    128,777.45x = 177,749.87 × 77,782.05
  4. Step 4: Simplify right side
    128,777.45x = 13,825,748,886.92
  5. Step 5: Solve for x
    x = 13,825,748,886.92/128,777.45
  6. Step 6: Final answer
    x = 107,361.57

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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.